What is the Greatest Common Factor of 39504 and 39508?

Greatest common factor (GCF) of 39504 and 39508 is 4.

GCF(39504,39508) = 4

We will now calculate the prime factors of 39504 and 39508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39504 and 39508.

How to find the GCF of 39504 and 39508?

We will first find the prime factorization of 39504 and 39508. After we will calculate the factors of 39504 and 39508 and find the biggest common factor number .

Step-1: 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-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 39504

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

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

Step-4: Factors of 39508

List of positive integer factors of 39508 that divides 39504 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 39504 and 39508. The biggest common factor number is the GCF number.
So the greatest common factor 39504 and 39508 is 4.

Also check out the Least Common Multiple of 39504 and 39508