What is the Greatest Common Factor of 64536 and 64551?

Greatest common factor (GCF) of 64536 and 64551 is 3.

GCF(64536,64551) = 3

We will now calculate the prime factors of 64536 and 64551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64536 and 64551.

How to find the GCF of 64536 and 64551?

We will first find the prime factorization of 64536 and 64551. After we will calculate the factors of 64536 and 64551 and find the biggest common factor number .

Step-1: Prime Factorization of 64536

Prime factors of 64536 are 2, 3, 2689. Prime factorization of 64536 in exponential form is:

64536 = 2³ × 3¹ × 2689¹

Step-2: Prime Factorization of 64551

Prime factors of 64551 are 3, 21517. Prime factorization of 64551 in exponential form is:

64551 = 3¹ × 21517¹

Step-3: Factors of 64536

List of positive integer factors of 64536 that divides 64536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2689, 5378, 8067, 10756, 16134, 21512, 32268

Step-4: Factors of 64551

List of positive integer factors of 64551 that divides 64536 without a remainder.

1, 3, 21517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64536 and 64551. The biggest common factor number is the GCF number.
So the greatest common factor 64536 and 64551 is 3.

Also check out the Least Common Multiple of 64536 and 64551