What is the Greatest Common Factor of 39488 and 39508?

Greatest common factor (GCF) of 39488 and 39508 is 4.

GCF(39488,39508) = 4

We will now calculate the prime factors of 39488 and 39508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39488 and 39508.

How to find the GCF of 39488 and 39508?

We will first find the prime factorization of 39488 and 39508. After we will calculate the factors of 39488 and 39508 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 39508

Prime factors of 39508 are 2, 7, 17, 83. Prime factorization of 39508 in exponential form is:

39508 = 2² × 7¹ × 17¹ × 83¹

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 39508

List of positive integer factors of 39508 that divides 39488 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 83, 119, 166, 238, 332, 476, 581, 1162, 1411, 2324, 2822, 5644, 9877, 19754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39488 and 39508. The biggest common factor number is the GCF number.
So the greatest common factor 39488 and 39508 is 4.

Also check out the Least Common Multiple of 39488 and 39508