About GCF:
The greatest common factor (GCF), also known as the greatest common divisor (GCD) is the largest number that is a factor or divisor for a group of numbers. For example, the greatest common factor for 6, 24, and 51 is 3. This is the largest number that is a factor of all three numbers.
Test Objectives
- Demonstrate the ability to find the prime factorization of a whole number
- Demonstrate the ability to find the GCF for two numbers
- Demonstrate the ability to find the GCF for more than two numbers
#1:
Instructions: Find the Greatest Common Factor (GCF) for each group of numbers.
a) GCF(26, 65)
b) GCF(100, 75)
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#2:
Instructions: Find the Greatest Common Factor (GCF) for each group of numbers.
a) GCF(87, 406)
b) GCF(1085, 117)
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#3:
Instructions: Find the Greatest Common Factor (GCF) for each group of numbers.
a) GCF(805, 322, 4025)
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#4:
Instructions: Find the Greatest Common Factor (GCF) for each group of numbers.
a) GCF(1620, 300, 1500, 3900)
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#5:
Instructions: Find the Greatest Common Factor (GCF) for each group of numbers.
a) GCF(2400, 3150, 6300)
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Written Solutions:
#1:
Solutions:
a) GCF(26, 65) = 13
b) GCF(100, 75) = 25
Watch the Step by Step Video Solution
#2:
Solutions:
a) GCF(87, 406) = 29
b) GCF(1085, 117) = 1
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#3:
Solutions:
a) GCF(805, 322, 4025) = 161
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#4:
Solutions:
a) GCF(1620, 300, 1500, 3900) = 60
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#5:
Solutions:
a) GCF(2400, 3150, 6300) = 150
