What is the Greatest Common Factor of 64524 and 64529?

Greatest common factor (GCF) of 64524 and 64529 is 1.

GCF(64524,64529) = 1

We will now calculate the prime factors of 64524 and 64529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64524 and 64529.

How to find the GCF of 64524 and 64529?

We will first find the prime factorization of 64524 and 64529. After we will calculate the factors of 64524 and 64529 and find the biggest common factor number .

Step-1: Prime Factorization of 64524

Prime factors of 64524 are 2, 3, 19, 283. Prime factorization of 64524 in exponential form is:

64524 = 2² × 3¹ × 19¹ × 283¹

Step-2: Prime Factorization of 64529

Prime factors of 64529 are 173, 373. Prime factorization of 64529 in exponential form is:

64529 = 173¹ × 373¹

Step-3: Factors of 64524

List of positive integer factors of 64524 that divides 64524 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 283, 566, 849, 1132, 1698, 3396, 5377, 10754, 16131, 21508, 32262

Step-4: Factors of 64529

List of positive integer factors of 64529 that divides 64524 without a remainder.

1, 173, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64524 and 64529. The biggest common factor number is the GCF number.
So the greatest common factor 64524 and 64529 is 1.

Also check out the Least Common Multiple of 64524 and 64529