What is the Greatest Common Factor of 39534 and 39546?

Greatest common factor (GCF) of 39534 and 39546 is 6.

GCF(39534,39546) = 6

We will now calculate the prime factors of 39534 and 39546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39534 and 39546.

How to find the GCF of 39534 and 39546?

We will first find the prime factorization of 39534 and 39546. After we will calculate the factors of 39534 and 39546 and find the biggest common factor number .

Step-1: 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-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 39534

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

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

Step-4: Factors of 39546

List of positive integer factors of 39546 that divides 39534 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 39534 and 39546. The biggest common factor number is the GCF number.
So the greatest common factor 39534 and 39546 is 6.

Also check out the Least Common Multiple of 39534 and 39546