What is the Greatest Common Factor of 6948 and 6952?

Greatest common factor (GCF) of 6948 and 6952 is 4.

GCF(6948,6952) = 4

We will now calculate the prime factors of 6948 and 6952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6948 and 6952.

How to find the GCF of 6948 and 6952?

We will first find the prime factorization of 6948 and 6952. After we will calculate the factors of 6948 and 6952 and find the biggest common factor number .

Step-1: Prime Factorization of 6948

Prime factors of 6948 are 2, 3, 193. Prime factorization of 6948 in exponential form is:

6948 = 2² × 3² × 193¹

Step-2: Prime Factorization of 6952

Prime factors of 6952 are 2, 11, 79. Prime factorization of 6952 in exponential form is:

6952 = 2³ × 11¹ × 79¹

Step-3: Factors of 6948

List of positive integer factors of 6948 that divides 6948 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474

Step-4: Factors of 6952

List of positive integer factors of 6952 that divides 6948 without a remainder.

1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6948 and 6952. The biggest common factor number is the GCF number.
So the greatest common factor 6948 and 6952 is 4.

Also check out the Least Common Multiple of 6948 and 6952