What is the Greatest Common Factor of 64544 and 64562?

Greatest common factor (GCF) of 64544 and 64562 is 2.

GCF(64544,64562) = 2

We will now calculate the prime factors of 64544 and 64562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64544 and 64562.

How to find the GCF of 64544 and 64562?

We will first find the prime factorization of 64544 and 64562. After we will calculate the factors of 64544 and 64562 and find the biggest common factor number .

Step-1: Prime Factorization of 64544

Prime factors of 64544 are 2, 2017. Prime factorization of 64544 in exponential form is:

64544 = 2⁵ × 2017¹

Step-2: Prime Factorization of 64562

Prime factors of 64562 are 2, 19, 1699. Prime factorization of 64562 in exponential form is:

64562 = 2¹ × 19¹ × 1699¹

Step-3: Factors of 64544

List of positive integer factors of 64544 that divides 64544 without a remainder.

1, 2, 4, 8, 16, 32, 2017, 4034, 8068, 16136, 32272

Step-4: Factors of 64562

List of positive integer factors of 64562 that divides 64544 without a remainder.

1, 2, 19, 38, 1699, 3398, 32281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64544 and 64562. The biggest common factor number is the GCF number.
So the greatest common factor 64544 and 64562 is 2.

Also check out the Least Common Multiple of 64544 and 64562