What is the Greatest Common Factor of 64617 and 64624?

Greatest common factor (GCF) of 64617 and 64624 is 7.

GCF(64617,64624) = 7

We will now calculate the prime factors of 64617 and 64624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64617 and 64624.

How to find the GCF of 64617 and 64624?

We will first find the prime factorization of 64617 and 64624. After we will calculate the factors of 64617 and 64624 and find the biggest common factor number .

Step-1: Prime Factorization of 64617

Prime factors of 64617 are 3, 7, 17, 181. Prime factorization of 64617 in exponential form is:

64617 = 3¹ × 7¹ × 17¹ × 181¹

Step-2: Prime Factorization of 64624

Prime factors of 64624 are 2, 7, 577. Prime factorization of 64624 in exponential form is:

64624 = 2⁴ × 7¹ × 577¹

Step-3: Factors of 64617

List of positive integer factors of 64617 that divides 64617 without a remainder.

1, 3, 7, 17, 21, 51, 119, 181, 357, 543, 1267, 3077, 3801, 9231, 21539

Step-4: Factors of 64624

List of positive integer factors of 64624 that divides 64617 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 577, 1154, 2308, 4039, 4616, 8078, 9232, 16156, 32312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64617 and 64624. The biggest common factor number is the GCF number.
So the greatest common factor 64617 and 64624 is 7.

Also check out the Least Common Multiple of 64617 and 64624