What is the Greatest Common Factor of 12920 and 12935?

Greatest common factor (GCF) of 12920 and 12935 is 5.

GCF(12920,12935) = 5

We will now calculate the prime factors of 12920 and 12935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12920 and 12935.

How to find the GCF of 12920 and 12935?

We will first find the prime factorization of 12920 and 12935. After we will calculate the factors of 12920 and 12935 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12935

Prime factors of 12935 are 5, 13, 199. Prime factorization of 12935 in exponential form is:

12935 = 5¹ × 13¹ × 199¹

Step-3: Factors of 12920

List of positive integer factors of 12920 that divides 12920 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

Step-4: Factors of 12935

List of positive integer factors of 12935 that divides 12920 without a remainder.

1, 5, 13, 65, 199, 995, 2587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12920 and 12935. The biggest common factor number is the GCF number.
So the greatest common factor 12920 and 12935 is 5.

Also check out the Least Common Multiple of 12920 and 12935