What is the Greatest Common Factor of 39488 and 39504?

Greatest common factor (GCF) of 39488 and 39504 is 16.

GCF(39488,39504) = 16

We will now calculate the prime factors of 39488 and 39504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39488 and 39504.

How to find the GCF of 39488 and 39504?

We will first find the prime factorization of 39488 and 39504. After we will calculate the factors of 39488 and 39504 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 39504

Prime factors of 39504 are 2, 3, 823. Prime factorization of 39504 in exponential form is:

39504 = 2⁴ × 3¹ × 823¹

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 39504

List of positive integer factors of 39504 that divides 39488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 823, 1646, 2469, 3292, 4938, 6584, 9876, 13168, 19752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39488 and 39504. The biggest common factor number is the GCF number.
So the greatest common factor 39488 and 39504 is 16.

Also check out the Least Common Multiple of 39488 and 39504