What is the Greatest Common Factor of 64614 and 64625?

Greatest common factor (GCF) of 64614 and 64625 is 11.

GCF(64614,64625) = 11

We will now calculate the prime factors of 64614 and 64625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64614 and 64625.

How to find the GCF of 64614 and 64625?

We will first find the prime factorization of 64614 and 64625. After we will calculate the factors of 64614 and 64625 and find the biggest common factor number .

Step-1: Prime Factorization of 64614

Prime factors of 64614 are 2, 3, 11, 89. Prime factorization of 64614 in exponential form is:

64614 = 2¹ × 3¹ × 11² × 89¹

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 64614

List of positive integer factors of 64614 that divides 64614 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 89, 121, 178, 242, 267, 363, 534, 726, 979, 1958, 2937, 5874, 10769, 21538, 32307

Step-4: Factors of 64625

List of positive integer factors of 64625 that divides 64614 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 64614 and 64625. The biggest common factor number is the GCF number.
So the greatest common factor 64614 and 64625 is 11.

Also check out the Least Common Multiple of 64614 and 64625