What is the Greatest Common Factor of 12922 and 12938?

Greatest common factor (GCF) of 12922 and 12938 is 2.

GCF(12922,12938) = 2

We will now calculate the prime factors of 12922 and 12938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12922 and 12938.

How to find the GCF of 12922 and 12938?

We will first find the prime factorization of 12922 and 12938. After we will calculate the factors of 12922 and 12938 and find the biggest common factor number .

Step-1: Prime Factorization of 12922

Prime factors of 12922 are 2, 7, 13, 71. Prime factorization of 12922 in exponential form is:

12922 = 2¹ × 7¹ × 13¹ × 71¹

Step-2: Prime Factorization of 12938

Prime factors of 12938 are 2, 6469. Prime factorization of 12938 in exponential form is:

12938 = 2¹ × 6469¹

Step-3: Factors of 12922

List of positive integer factors of 12922 that divides 12922 without a remainder.

1, 2, 7, 13, 14, 26, 71, 91, 142, 182, 497, 923, 994, 1846, 6461

Step-4: Factors of 12938

List of positive integer factors of 12938 that divides 12922 without a remainder.

1, 2, 6469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12922 and 12938. The biggest common factor number is the GCF number.
So the greatest common factor 12922 and 12938 is 2.

Also check out the Least Common Multiple of 12922 and 12938