What is the Greatest Common Factor of 64617 and 64632?

Greatest common factor (GCF) of 64617 and 64632 is 3.

GCF(64617,64632) = 3

We will now calculate the prime factors of 64617 and 64632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64617 and 64632.

How to find the GCF of 64617 and 64632?

We will first find the prime factorization of 64617 and 64632. After we will calculate the factors of 64617 and 64632 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 64632

Prime factors of 64632 are 2, 3, 2693. Prime factorization of 64632 in exponential form is:

64632 = 2³ × 3¹ × 2693¹

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 64632

List of positive integer factors of 64632 that divides 64617 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2693, 5386, 8079, 10772, 16158, 21544, 32316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64617 and 64632. The biggest common factor number is the GCF number.
So the greatest common factor 64617 and 64632 is 3.

Also check out the Least Common Multiple of 64617 and 64632