1. Prime factorization
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
2. List
Example: 30 and 42
The factors of 30 are:
1, 2, 3, 5, 6, 10, 15, 30
The factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42
The common factors are:
1, 2, 3, 6
The Greatest Common Factor:
GCF = 6
You need at least two numbers to find a GCF. If that's 72 and 96, the GCF is 24.
You need at least two numbers to find a GCF. If that's 16 and 66, the GCF is 2.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You don't; you need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF. If that's 72 and 96, the GCF is 24.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF. If that's 16 and 66, the GCF is 2.
You need at least two numbers to find a GCF.
To find a pair of numbers with a given GCF, take the GCF number and double it. The pair of numbers is the GCF, and two times the GCF. For instance, two numbers with a GCF of 3 are 3 and 6.