What is the Greatest Common Factor of 39264 and 39276?

Greatest common factor (GCF) of 39264 and 39276 is 12.

GCF(39264,39276) = 12

We will now calculate the prime factors of 39264 and 39276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39264 and 39276.

How to find the GCF of 39264 and 39276?

We will first find the prime factorization of 39264 and 39276. After we will calculate the factors of 39264 and 39276 and find the biggest common factor number .

Step-1: Prime Factorization of 39264

Prime factors of 39264 are 2, 3, 409. Prime factorization of 39264 in exponential form is:

39264 = 2⁵ × 3¹ × 409¹

Step-2: 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-3: Factors of 39264

List of positive integer factors of 39264 that divides 39264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 409, 818, 1227, 1636, 2454, 3272, 4908, 6544, 9816, 13088, 19632

Step-4: Factors of 39276

List of positive integer factors of 39276 that divides 39264 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39264 and 39276. The biggest common factor number is the GCF number.
So the greatest common factor 39264 and 39276 is 12.

Also check out the Least Common Multiple of 39264 and 39276