What is the Greatest Common Factor of 12922 and 12936?

Greatest common factor (GCF) of 12922 and 12936 is 14.

GCF(12922,12936) = 14

We will now calculate the prime factors of 12922 and 12936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12922 and 12936.

How to find the GCF of 12922 and 12936?

We will first find the prime factorization of 12922 and 12936. After we will calculate the factors of 12922 and 12936 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 12936

Prime factors of 12936 are 2, 3, 7, 11. Prime factorization of 12936 in exponential form is:

12936 = 2³ × 3¹ × 7² × 11¹

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 12936

List of positive integer factors of 12936 that divides 12922 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 49, 56, 66, 77, 84, 88, 98, 132, 147, 154, 168, 196, 231, 264, 294, 308, 392, 462, 539, 588, 616, 924, 1078, 1176, 1617, 1848, 2156, 3234, 4312, 6468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12922 and 12936. The biggest common factor number is the GCF number.
So the greatest common factor 12922 and 12936 is 14.

Also check out the Least Common Multiple of 12922 and 12936