What is the Greatest Common Factor of 39472 and 39488?

Greatest common factor (GCF) of 39472 and 39488 is 16.

GCF(39472,39488) = 16

We will now calculate the prime factors of 39472 and 39488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39472 and 39488.

How to find the GCF of 39472 and 39488?

We will first find the prime factorization of 39472 and 39488. After we will calculate the factors of 39472 and 39488 and find the biggest common factor number .

Step-1: Prime Factorization of 39472

Prime factors of 39472 are 2, 2467. Prime factorization of 39472 in exponential form is:

39472 = 2⁴ × 2467¹

Step-2: Prime Factorization of 39488

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

39488 = 2⁶ × 617¹

Step-3: Factors of 39472

List of positive integer factors of 39472 that divides 39472 without a remainder.

1, 2, 4, 8, 16, 2467, 4934, 9868, 19736

Step-4: Factors of 39488

List of positive integer factors of 39488 that divides 39472 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39472 and 39488. The biggest common factor number is the GCF number.
So the greatest common factor 39472 and 39488 is 16.

Also check out the Least Common Multiple of 39472 and 39488