What is the Greatest Common Factor of 64525 and 64535?

Greatest common factor (GCF) of 64525 and 64535 is 5.

GCF(64525,64535) = 5

We will now calculate the prime factors of 64525 and 64535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64525 and 64535.

How to find the GCF of 64525 and 64535?

We will first find the prime factorization of 64525 and 64535. After we will calculate the factors of 64525 and 64535 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 64535

Prime factors of 64535 are 5, 12907. Prime factorization of 64535 in exponential form is:

64535 = 5¹ × 12907¹

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 64535

List of positive integer factors of 64535 that divides 64525 without a remainder.

1, 5, 12907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64525 and 64535. The biggest common factor number is the GCF number.
So the greatest common factor 64525 and 64535 is 5.

Also check out the Least Common Multiple of 64525 and 64535