What is the Greatest Common Factor of 65984 and 65992?

Greatest common factor (GCF) of 65984 and 65992 is 8.

GCF(65984,65992) = 8

We will now calculate the prime factors of 65984 and 65992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65984 and 65992.

How to find the GCF of 65984 and 65992?

We will first find the prime factorization of 65984 and 65992. After we will calculate the factors of 65984 and 65992 and find the biggest common factor number .

Step-1: Prime Factorization of 65984

Prime factors of 65984 are 2, 1031. Prime factorization of 65984 in exponential form is:

65984 = 2⁶ × 1031¹

Step-2: Prime Factorization of 65992

Prime factors of 65992 are 2, 73, 113. Prime factorization of 65992 in exponential form is:

65992 = 2³ × 73¹ × 113¹

Step-3: Factors of 65984

List of positive integer factors of 65984 that divides 65984 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1031, 2062, 4124, 8248, 16496, 32992

Step-4: Factors of 65992

List of positive integer factors of 65992 that divides 65984 without a remainder.

1, 2, 4, 8, 73, 113, 146, 226, 292, 452, 584, 904, 8249, 16498, 32996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65984 and 65992. The biggest common factor number is the GCF number.
So the greatest common factor 65984 and 65992 is 8.

Also check out the Least Common Multiple of 65984 and 65992