What is the Greatest Common Factor of 64525 and 64538?

Greatest common factor (GCF) of 64525 and 64538 is 1.

GCF(64525,64538) = 1

We will now calculate the prime factors of 64525 and 64538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64525 and 64538.

How to find the GCF of 64525 and 64538?

We will first find the prime factorization of 64525 and 64538. After we will calculate the factors of 64525 and 64538 and find the biggest common factor number .

Step-1: Prime Factorization of 64525

Prime factors of 64525 are 5, 29, 89. Prime factorization of 64525 in exponential form is:

64525 = 5² × 29¹ × 89¹

Step-2: Prime Factorization of 64538

Prime factors of 64538 are 2, 23, 61. Prime factorization of 64538 in exponential form is:

64538 = 2¹ × 23² × 61¹

Step-3: Factors of 64525

List of positive integer factors of 64525 that divides 64525 without a remainder.

1, 5, 25, 29, 89, 145, 445, 725, 2225, 2581, 12905

Step-4: Factors of 64538

List of positive integer factors of 64538 that divides 64525 without a remainder.

1, 2, 23, 46, 61, 122, 529, 1058, 1403, 2806, 32269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64525 and 64538. The biggest common factor number is the GCF number.
So the greatest common factor 64525 and 64538 is 1.

Also check out the Least Common Multiple of 64525 and 64538