What is the Greatest Common Factor of 39538 and 39546?

Greatest common factor (GCF) of 39538 and 39546 is 2.

GCF(39538,39546) = 2

We will now calculate the prime factors of 39538 and 39546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39538 and 39546.

How to find the GCF of 39538 and 39546?

We will first find the prime factorization of 39538 and 39546. After we will calculate the factors of 39538 and 39546 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 39546

Prime factors of 39546 are 2, 3, 13. Prime factorization of 39546 in exponential form is:

39546 = 2¹ × 3² × 13³

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 39546

List of positive integer factors of 39546 that divides 39538 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 2197, 3042, 4394, 6591, 13182, 19773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39538 and 39546. The biggest common factor number is the GCF number.
So the greatest common factor 39538 and 39546 is 2.

Also check out the Least Common Multiple of 39538 and 39546