What is the Greatest Common Factor of 6946 and 6956?

Greatest common factor (GCF) of 6946 and 6956 is 2.

GCF(6946,6956) = 2

We will now calculate the prime factors of 6946 and 6956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6946 and 6956.

How to find the GCF of 6946 and 6956?

We will first find the prime factorization of 6946 and 6956. After we will calculate the factors of 6946 and 6956 and find the biggest common factor number .

Step-1: Prime Factorization of 6946

Prime factors of 6946 are 2, 23, 151. Prime factorization of 6946 in exponential form is:

6946 = 2¹ × 23¹ × 151¹

Step-2: Prime Factorization of 6956

Prime factors of 6956 are 2, 37, 47. Prime factorization of 6956 in exponential form is:

6956 = 2² × 37¹ × 47¹

Step-3: Factors of 6946

List of positive integer factors of 6946 that divides 6946 without a remainder.

1, 2, 23, 46, 151, 302, 3473

Step-4: Factors of 6956

List of positive integer factors of 6956 that divides 6946 without a remainder.

1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6946 and 6956. The biggest common factor number is the GCF number.
So the greatest common factor 6946 and 6956 is 2.

Also check out the Least Common Multiple of 6946 and 6956