What is the Greatest Common Factor of 65984 and 65996?

Greatest common factor (GCF) of 65984 and 65996 is 4.

GCF(65984,65996) = 4

We will now calculate the prime factors of 65984 and 65996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65984 and 65996.

How to find the GCF of 65984 and 65996?

We will first find the prime factorization of 65984 and 65996. After we will calculate the factors of 65984 and 65996 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 65996

Prime factors of 65996 are 2, 7, 2357. Prime factorization of 65996 in exponential form is:

65996 = 2² × 7¹ × 2357¹

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 65996

List of positive integer factors of 65996 that divides 65984 without a remainder.

1, 2, 4, 7, 14, 28, 2357, 4714, 9428, 16499, 32998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65984 and 65996. The biggest common factor number is the GCF number.
So the greatest common factor 65984 and 65996 is 4.

Also check out the Least Common Multiple of 65984 and 65996