What is the Greatest Common Factor of 64552 and 64570?

Greatest common factor (GCF) of 64552 and 64570 is 2.

GCF(64552,64570) = 2

We will now calculate the prime factors of 64552 and 64570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64552 and 64570.

How to find the GCF of 64552 and 64570?

We will first find the prime factorization of 64552 and 64570. After we will calculate the factors of 64552 and 64570 and find the biggest common factor number .

Step-1: Prime Factorization of 64552

Prime factors of 64552 are 2, 8069. Prime factorization of 64552 in exponential form is:

64552 = 2³ × 8069¹

Step-2: Prime Factorization of 64570

Prime factors of 64570 are 2, 5, 11, 587. Prime factorization of 64570 in exponential form is:

64570 = 2¹ × 5¹ × 11¹ × 587¹

Step-3: Factors of 64552

List of positive integer factors of 64552 that divides 64552 without a remainder.

1, 2, 4, 8, 8069, 16138, 32276

Step-4: Factors of 64570

List of positive integer factors of 64570 that divides 64552 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 587, 1174, 2935, 5870, 6457, 12914, 32285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64552 and 64570. The biggest common factor number is the GCF number.
So the greatest common factor 64552 and 64570 is 2.

Also check out the Least Common Multiple of 64552 and 64570