What is the Greatest Common Factor of 64972 and 64984?

Greatest common factor (GCF) of 64972 and 64984 is 4.

GCF(64972,64984) = 4

We will now calculate the prime factors of 64972 and 64984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64972 and 64984.

How to find the GCF of 64972 and 64984?

We will first find the prime factorization of 64972 and 64984. After we will calculate the factors of 64972 and 64984 and find the biggest common factor number .

Step-1: Prime Factorization of 64972

Prime factors of 64972 are 2, 37, 439. Prime factorization of 64972 in exponential form is:

64972 = 2² × 37¹ × 439¹

Step-2: Prime Factorization of 64984

Prime factors of 64984 are 2, 8123. Prime factorization of 64984 in exponential form is:

64984 = 2³ × 8123¹

Step-3: Factors of 64972

List of positive integer factors of 64972 that divides 64972 without a remainder.

1, 2, 4, 37, 74, 148, 439, 878, 1756, 16243, 32486

Step-4: Factors of 64984

List of positive integer factors of 64984 that divides 64972 without a remainder.

1, 2, 4, 8, 8123, 16246, 32492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64972 and 64984. The biggest common factor number is the GCF number.
So the greatest common factor 64972 and 64984 is 4.

Also check out the Least Common Multiple of 64972 and 64984