What is the Greatest Common Factor of 39672 and 39678?

Greatest common factor (GCF) of 39672 and 39678 is 6.

GCF(39672,39678) = 6

We will now calculate the prime factors of 39672 and 39678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39672 and 39678.

How to find the GCF of 39672 and 39678?

We will first find the prime factorization of 39672 and 39678. After we will calculate the factors of 39672 and 39678 and find the biggest common factor number .

Step-1: Prime Factorization of 39672

Prime factors of 39672 are 2, 3, 19, 29. Prime factorization of 39672 in exponential form is:

39672 = 2³ × 3² × 19¹ × 29¹

Step-2: Prime Factorization of 39678

Prime factors of 39678 are 2, 3, 17, 389. Prime factorization of 39678 in exponential form is:

39678 = 2¹ × 3¹ × 17¹ × 389¹

Step-3: Factors of 39672

List of positive integer factors of 39672 that divides 39672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 29, 36, 38, 57, 58, 72, 76, 87, 114, 116, 152, 171, 174, 228, 232, 261, 342, 348, 456, 522, 551, 684, 696, 1044, 1102, 1368, 1653, 2088, 2204, 3306, 4408, 4959, 6612, 9918, 13224, 19836

Step-4: Factors of 39678

List of positive integer factors of 39678 that divides 39672 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 389, 778, 1167, 2334, 6613, 13226, 19839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39672 and 39678. The biggest common factor number is the GCF number.
So the greatest common factor 39672 and 39678 is 6.

Also check out the Least Common Multiple of 39672 and 39678