What is the Greatest Common Factor of 6940 and 6952?

Greatest common factor (GCF) of 6940 and 6952 is 4.

GCF(6940,6952) = 4

We will now calculate the prime factors of 6940 and 6952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6940 and 6952.

How to find the GCF of 6940 and 6952?

We will first find the prime factorization of 6940 and 6952. After we will calculate the factors of 6940 and 6952 and find the biggest common factor number .

Step-1: Prime Factorization of 6940

Prime factors of 6940 are 2, 5, 347. Prime factorization of 6940 in exponential form is:

6940 = 2² × 5¹ × 347¹

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 6940

List of positive integer factors of 6940 that divides 6940 without a remainder.

1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470

Step-4: Factors of 6952

List of positive integer factors of 6952 that divides 6940 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 6940 and 6952. The biggest common factor number is the GCF number.
So the greatest common factor 6940 and 6952 is 4.

Also check out the Least Common Multiple of 6940 and 6952