What is the Greatest Common Factor of 12940 and 12952?

Greatest common factor (GCF) of 12940 and 12952 is 4.

GCF(12940,12952) = 4

We will now calculate the prime factors of 12940 and 12952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12940 and 12952.

How to find the GCF of 12940 and 12952?

We will first find the prime factorization of 12940 and 12952. After we will calculate the factors of 12940 and 12952 and find the biggest common factor number .

Step-1: Prime Factorization of 12940

Prime factors of 12940 are 2, 5, 647. Prime factorization of 12940 in exponential form is:

12940 = 2² × 5¹ × 647¹

Step-2: Prime Factorization of 12952

Prime factors of 12952 are 2, 1619. Prime factorization of 12952 in exponential form is:

12952 = 2³ × 1619¹

Step-3: Factors of 12940

List of positive integer factors of 12940 that divides 12940 without a remainder.

1, 2, 4, 5, 10, 20, 647, 1294, 2588, 3235, 6470

Step-4: Factors of 12952

List of positive integer factors of 12952 that divides 12940 without a remainder.

1, 2, 4, 8, 1619, 3238, 6476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12940 and 12952. The biggest common factor number is the GCF number.
So the greatest common factor 12940 and 12952 is 4.

Also check out the Least Common Multiple of 12940 and 12952