What is the Greatest Common Factor of 5964 and 5976?

Greatest common factor (GCF) of 5964 and 5976 is 12.

GCF(5964,5976) = 12

We will now calculate the prime factors of 5964 and 5976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5964 and 5976.

How to find the GCF of 5964 and 5976?

We will first find the prime factorization of 5964 and 5976. After we will calculate the factors of 5964 and 5976 and find the biggest common factor number .

Step-1: Prime Factorization of 5964

Prime factors of 5964 are 2, 3, 7, 71. Prime factorization of 5964 in exponential form is:

5964 = 2² × 3¹ × 7¹ × 71¹

Step-2: Prime Factorization of 5976

Prime factors of 5976 are 2, 3, 83. Prime factorization of 5976 in exponential form is:

5976 = 2³ × 3² × 83¹

Step-3: Factors of 5964

List of positive integer factors of 5964 that divides 5964 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982

Step-4: Factors of 5976

List of positive integer factors of 5976 that divides 5964 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5964 and 5976. The biggest common factor number is the GCF number.
So the greatest common factor 5964 and 5976 is 12.

Also check out the Least Common Multiple of 5964 and 5976