What is the Greatest Common Factor of 7946 and 7964?

Greatest common factor (GCF) of 7946 and 7964 is 2.

GCF(7946,7964) = 2

We will now calculate the prime factors of 7946 and 7964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7946 and 7964.

How to find the GCF of 7946 and 7964?

We will first find the prime factorization of 7946 and 7964. After we will calculate the factors of 7946 and 7964 and find the biggest common factor number .

Step-1: Prime Factorization of 7946

Prime factors of 7946 are 2, 29, 137. Prime factorization of 7946 in exponential form is:

7946 = 2¹ × 29¹ × 137¹

Step-2: Prime Factorization of 7964

Prime factors of 7964 are 2, 11, 181. Prime factorization of 7964 in exponential form is:

7964 = 2² × 11¹ × 181¹

Step-3: Factors of 7946

List of positive integer factors of 7946 that divides 7946 without a remainder.

1, 2, 29, 58, 137, 274, 3973

Step-4: Factors of 7964

List of positive integer factors of 7964 that divides 7946 without a remainder.

1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7946 and 7964. The biggest common factor number is the GCF number.
So the greatest common factor 7946 and 7964 is 2.

Also check out the Least Common Multiple of 7946 and 7964