What is the Greatest Common Factor of 64525 and 64544?

Greatest common factor (GCF) of 64525 and 64544 is 1.

GCF(64525,64544) = 1

We will now calculate the prime factors of 64525 and 64544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64525 and 64544.

How to find the GCF of 64525 and 64544?

We will first find the prime factorization of 64525 and 64544. After we will calculate the factors of 64525 and 64544 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 64544

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

64544 = 2⁵ × 2017¹

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 64544

List of positive integer factors of 64544 that divides 64525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64525 and 64544. The biggest common factor number is the GCF number.
So the greatest common factor 64525 and 64544 is 1.

Also check out the Least Common Multiple of 64525 and 64544