What is the Greatest Common Factor of 39516 and 39534?

Greatest common factor (GCF) of 39516 and 39534 is 6.

GCF(39516,39534) = 6

We will now calculate the prime factors of 39516 and 39534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39516 and 39534.

How to find the GCF of 39516 and 39534?

We will first find the prime factorization of 39516 and 39534. After we will calculate the factors of 39516 and 39534 and find the biggest common factor number .

Step-1: Prime Factorization of 39516

Prime factors of 39516 are 2, 3, 37, 89. Prime factorization of 39516 in exponential form is:

39516 = 2² × 3¹ × 37¹ × 89¹

Step-2: Prime Factorization of 39534

Prime factors of 39534 are 2, 3, 11, 599. Prime factorization of 39534 in exponential form is:

39534 = 2¹ × 3¹ × 11¹ × 599¹

Step-3: Factors of 39516

List of positive integer factors of 39516 that divides 39516 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 89, 111, 148, 178, 222, 267, 356, 444, 534, 1068, 3293, 6586, 9879, 13172, 19758

Step-4: Factors of 39534

List of positive integer factors of 39534 that divides 39516 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 599, 1198, 1797, 3594, 6589, 13178, 19767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39516 and 39534. The biggest common factor number is the GCF number.
So the greatest common factor 39516 and 39534 is 6.

Also check out the Least Common Multiple of 39516 and 39534