What is the Greatest Common Factor of 12922 and 12931?

Greatest common factor (GCF) of 12922 and 12931 is 1.

GCF(12922,12931) = 1

We will now calculate the prime factors of 12922 and 12931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12922 and 12931.

How to find the GCF of 12922 and 12931?

We will first find the prime factorization of 12922 and 12931. After we will calculate the factors of 12922 and 12931 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 12931

Prime factors of 12931 are 67, 193. Prime factorization of 12931 in exponential form is:

12931 = 67¹ × 193¹

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 12931

List of positive integer factors of 12931 that divides 12922 without a remainder.

1, 67, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12922 and 12931. The biggest common factor number is the GCF number.
So the greatest common factor 12922 and 12931 is 1.

Also check out the Least Common Multiple of 12922 and 12931