What is the Greatest Common Factor of 64609 and 64625?

Greatest common factor (GCF) of 64609 and 64625 is 1.

GCF(64609,64625) = 1

We will now calculate the prime factors of 64609 and 64625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64609 and 64625.

How to find the GCF of 64609 and 64625?

We will first find the prime factorization of 64609 and 64625. After we will calculate the factors of 64609 and 64625 and find the biggest common factor number .

Step-1: Prime Factorization of 64609

Prime factors of 64609 are 64609. Prime factorization of 64609 in exponential form is:

64609 = 64609¹

Step-2: Prime Factorization of 64625

Prime factors of 64625 are 5, 11, 47. Prime factorization of 64625 in exponential form is:

64625 = 5³ × 11¹ × 47¹

Step-3: Factors of 64609

List of positive integer factors of 64609 that divides 64609 without a remainder.

Step-4: Factors of 64625

List of positive integer factors of 64625 that divides 64609 without a remainder.

1, 5, 11, 25, 47, 55, 125, 235, 275, 517, 1175, 1375, 2585, 5875, 12925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64609 and 64625. The biggest common factor number is the GCF number.
So the greatest common factor 64609 and 64625 is 1.

Also check out the Least Common Multiple of 64609 and 64625