What is the Greatest Common Factor of 39492 and 39501?

Greatest common factor (GCF) of 39492 and 39501 is 9.

GCF(39492,39501) = 9

We will now calculate the prime factors of 39492 and 39501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39492 and 39501.

How to find the GCF of 39492 and 39501?

We will first find the prime factorization of 39492 and 39501. After we will calculate the factors of 39492 and 39501 and find the biggest common factor number .

Step-1: Prime Factorization of 39492

Prime factors of 39492 are 2, 3, 1097. Prime factorization of 39492 in exponential form is:

39492 = 2² × 3² × 1097¹

Step-2: Prime Factorization of 39501

Prime factors of 39501 are 3, 7, 11, 19. Prime factorization of 39501 in exponential form is:

39501 = 3³ × 7¹ × 11¹ × 19¹

Step-3: Factors of 39492

List of positive integer factors of 39492 that divides 39492 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1097, 2194, 3291, 4388, 6582, 9873, 13164, 19746

Step-4: Factors of 39501

List of positive integer factors of 39501 that divides 39492 without a remainder.

1, 3, 7, 9, 11, 19, 21, 27, 33, 57, 63, 77, 99, 133, 171, 189, 209, 231, 297, 399, 513, 627, 693, 1197, 1463, 1881, 2079, 3591, 4389, 5643, 13167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39492 and 39501. The biggest common factor number is the GCF number.
So the greatest common factor 39492 and 39501 is 9.

Also check out the Least Common Multiple of 39492 and 39501