What is the Greatest Common Factor of 39538 and 39556?

Greatest common factor (GCF) of 39538 and 39556 is 2.

GCF(39538,39556) = 2

We will now calculate the prime factors of 39538 and 39556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39538 and 39556.

How to find the GCF of 39538 and 39556?

We will first find the prime factorization of 39538 and 39556. After we will calculate the factors of 39538 and 39556 and find the biggest common factor number .

Step-1: Prime Factorization of 39538

Prime factors of 39538 are 2, 53, 373. Prime factorization of 39538 in exponential form is:

39538 = 2¹ × 53¹ × 373¹

Step-2: Prime Factorization of 39556

Prime factors of 39556 are 2, 11, 29, 31. Prime factorization of 39556 in exponential form is:

39556 = 2² × 11¹ × 29¹ × 31¹

Step-3: Factors of 39538

List of positive integer factors of 39538 that divides 39538 without a remainder.

1, 2, 53, 106, 373, 746, 19769

Step-4: Factors of 39556

List of positive integer factors of 39556 that divides 39538 without a remainder.

1, 2, 4, 11, 22, 29, 31, 44, 58, 62, 116, 124, 319, 341, 638, 682, 899, 1276, 1364, 1798, 3596, 9889, 19778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39538 and 39556. The biggest common factor number is the GCF number.
So the greatest common factor 39538 and 39556 is 2.

Also check out the Least Common Multiple of 39538 and 39556