What is the Greatest Common Factor of 39488 and 39501?

Greatest common factor (GCF) of 39488 and 39501 is 1.

GCF(39488,39501) = 1

We will now calculate the prime factors of 39488 and 39501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39488 and 39501.

How to find the GCF of 39488 and 39501?

We will first find the prime factorization of 39488 and 39501. After we will calculate the factors of 39488 and 39501 and find the biggest common factor number .

Step-1: Prime Factorization of 39488

Prime factors of 39488 are 2, 617. Prime factorization of 39488 in exponential form is:

39488 = 2⁶ × 617¹

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 39488

List of positive integer factors of 39488 that divides 39488 without a remainder.

1, 2, 4, 8, 16, 32, 64, 617, 1234, 2468, 4936, 9872, 19744

Step-4: Factors of 39501

List of positive integer factors of 39501 that divides 39488 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 39488 and 39501. The biggest common factor number is the GCF number.
So the greatest common factor 39488 and 39501 is 1.

Also check out the Least Common Multiple of 39488 and 39501