What is the Greatest Common Factor of 39611 and 39624?

Greatest common factor (GCF) of 39611 and 39624 is 13.

GCF(39611,39624) = 13

We will now calculate the prime factors of 39611 and 39624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39611 and 39624.

How to find the GCF of 39611 and 39624?

We will first find the prime factorization of 39611 and 39624. After we will calculate the factors of 39611 and 39624 and find the biggest common factor number .

Step-1: Prime Factorization of 39611

Prime factors of 39611 are 11, 13, 277. Prime factorization of 39611 in exponential form is:

39611 = 11¹ × 13¹ × 277¹

Step-2: Prime Factorization of 39624

Prime factors of 39624 are 2, 3, 13, 127. Prime factorization of 39624 in exponential form is:

39624 = 2³ × 3¹ × 13¹ × 127¹

Step-3: Factors of 39611

List of positive integer factors of 39611 that divides 39611 without a remainder.

1, 11, 13, 143, 277, 3047, 3601

Step-4: Factors of 39624

List of positive integer factors of 39624 that divides 39611 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 127, 156, 254, 312, 381, 508, 762, 1016, 1524, 1651, 3048, 3302, 4953, 6604, 9906, 13208, 19812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39611 and 39624. The biggest common factor number is the GCF number.
So the greatest common factor 39611 and 39624 is 13.

Also check out the Least Common Multiple of 39611 and 39624