What is the Greatest Common Factor of 39508 and 39515?

Greatest common factor (GCF) of 39508 and 39515 is 7.

GCF(39508,39515) = 7

We will now calculate the prime factors of 39508 and 39515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39508 and 39515.

How to find the GCF of 39508 and 39515?

We will first find the prime factorization of 39508 and 39515. After we will calculate the factors of 39508 and 39515 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39515

Prime factors of 39515 are 5, 7, 1129. Prime factorization of 39515 in exponential form is:

39515 = 5¹ × 7¹ × 1129¹

Step-3: Factors of 39508

List of positive integer factors of 39508 that divides 39508 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

Step-4: Factors of 39515

List of positive integer factors of 39515 that divides 39508 without a remainder.

1, 5, 7, 35, 1129, 5645, 7903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39508 and 39515. The biggest common factor number is the GCF number.
So the greatest common factor 39508 and 39515 is 7.

Also check out the Least Common Multiple of 39508 and 39515