What is the Greatest Common Factor of 39276 and 39294?

Greatest common factor (GCF) of 39276 and 39294 is 18.

GCF(39276,39294) = 18

We will now calculate the prime factors of 39276 and 39294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39276 and 39294.

How to find the GCF of 39276 and 39294?

We will first find the prime factorization of 39276 and 39294. After we will calculate the factors of 39276 and 39294 and find the biggest common factor number .

Step-1: Prime Factorization of 39276

Prime factors of 39276 are 2, 3, 1091. Prime factorization of 39276 in exponential form is:

39276 = 2² × 3² × 1091¹

Step-2: Prime Factorization of 39294

Prime factors of 39294 are 2, 3, 37, 59. Prime factorization of 39294 in exponential form is:

39294 = 2¹ × 3² × 37¹ × 59¹

Step-3: Factors of 39276

List of positive integer factors of 39276 that divides 39276 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1091, 2182, 3273, 4364, 6546, 9819, 13092, 19638

Step-4: Factors of 39294

List of positive integer factors of 39294 that divides 39276 without a remainder.

1, 2, 3, 6, 9, 18, 37, 59, 74, 111, 118, 177, 222, 333, 354, 531, 666, 1062, 2183, 4366, 6549, 13098, 19647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39276 and 39294. The biggest common factor number is the GCF number.
So the greatest common factor 39276 and 39294 is 18.

Also check out the Least Common Multiple of 39276 and 39294