What is the Greatest Common Factor of 12908 and 12920?

Greatest common factor (GCF) of 12908 and 12920 is 4.

GCF(12908,12920) = 4

We will now calculate the prime factors of 12908 and 12920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12908 and 12920.

How to find the GCF of 12908 and 12920?

We will first find the prime factorization of 12908 and 12920. After we will calculate the factors of 12908 and 12920 and find the biggest common factor number .

Step-1: Prime Factorization of 12908

Prime factors of 12908 are 2, 7, 461. Prime factorization of 12908 in exponential form is:

12908 = 2² × 7¹ × 461¹

Step-2: Prime Factorization of 12920

Prime factors of 12920 are 2, 5, 17, 19. Prime factorization of 12920 in exponential form is:

12920 = 2³ × 5¹ × 17¹ × 19¹

Step-3: Factors of 12908

List of positive integer factors of 12908 that divides 12908 without a remainder.

1, 2, 4, 7, 14, 28, 461, 922, 1844, 3227, 6454

Step-4: Factors of 12920

List of positive integer factors of 12920 that divides 12908 without a remainder.

1, 2, 4, 5, 8, 10, 17, 19, 20, 34, 38, 40, 68, 76, 85, 95, 136, 152, 170, 190, 323, 340, 380, 646, 680, 760, 1292, 1615, 2584, 3230, 6460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12908 and 12920. The biggest common factor number is the GCF number.
So the greatest common factor 12908 and 12920 is 4.

Also check out the Least Common Multiple of 12908 and 12920