What is the Greatest Common Factor of 12922 and 12932?

Greatest common factor (GCF) of 12922 and 12932 is 2.

GCF(12922,12932) = 2

We will now calculate the prime factors of 12922 and 12932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12922 and 12932.

How to find the GCF of 12922 and 12932?

We will first find the prime factorization of 12922 and 12932. After we will calculate the factors of 12922 and 12932 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 12932

Prime factors of 12932 are 2, 53, 61. Prime factorization of 12932 in exponential form is:

12932 = 2² × 53¹ × 61¹

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 12932

List of positive integer factors of 12932 that divides 12922 without a remainder.

1, 2, 4, 53, 61, 106, 122, 212, 244, 3233, 6466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12922 and 12932. The biggest common factor number is the GCF number.
So the greatest common factor 12922 and 12932 is 2.

Also check out the Least Common Multiple of 12922 and 12932