What is the Greatest Common Factor of 39508 and 39526?

Greatest common factor (GCF) of 39508 and 39526 is 2.

GCF(39508,39526) = 2

We will now calculate the prime factors of 39508 and 39526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39508 and 39526.

How to find the GCF of 39508 and 39526?

We will first find the prime factorization of 39508 and 39526. After we will calculate the factors of 39508 and 39526 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 39526

Prime factors of 39526 are 2, 19763. Prime factorization of 39526 in exponential form is:

39526 = 2¹ × 19763¹

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 39526

List of positive integer factors of 39526 that divides 39508 without a remainder.

1, 2, 19763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39508 and 39526. The biggest common factor number is the GCF number.
So the greatest common factor 39508 and 39526 is 2.

Also check out the Least Common Multiple of 39508 and 39526