What is the Greatest Common Factor of 64542 and 64552?

Greatest common factor (GCF) of 64542 and 64552 is 2.

GCF(64542,64552) = 2

We will now calculate the prime factors of 64542 and 64552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64542 and 64552.

How to find the GCF of 64542 and 64552?

We will first find the prime factorization of 64542 and 64552. After we will calculate the factors of 64542 and 64552 and find the biggest common factor number .

Step-1: Prime Factorization of 64542

Prime factors of 64542 are 2, 3, 31, 347. Prime factorization of 64542 in exponential form is:

64542 = 2¹ × 3¹ × 31¹ × 347¹

Step-2: Prime Factorization of 64552

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

64552 = 2³ × 8069¹

Step-3: Factors of 64542

List of positive integer factors of 64542 that divides 64542 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 347, 694, 1041, 2082, 10757, 21514, 32271

Step-4: Factors of 64552

List of positive integer factors of 64552 that divides 64542 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64542 and 64552. The biggest common factor number is the GCF number.
So the greatest common factor 64542 and 64552 is 2.

Also check out the Least Common Multiple of 64542 and 64552