What is the Greatest Common Factor of 39264 and 39282?

Greatest common factor (GCF) of 39264 and 39282 is 6.

GCF(39264,39282) = 6

We will now calculate the prime factors of 39264 and 39282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39264 and 39282.

How to find the GCF of 39264 and 39282?

We will first find the prime factorization of 39264 and 39282. After we will calculate the factors of 39264 and 39282 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 39282

Prime factors of 39282 are 2, 3, 6547. Prime factorization of 39282 in exponential form is:

39282 = 2¹ × 3¹ × 6547¹

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 39282

List of positive integer factors of 39282 that divides 39264 without a remainder.

1, 2, 3, 6, 6547, 13094, 19641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39264 and 39282. The biggest common factor number is the GCF number.
So the greatest common factor 39264 and 39282 is 6.

Also check out the Least Common Multiple of 39264 and 39282