What is the Greatest Common Factor of 39648 and 39654?

Greatest common factor (GCF) of 39648 and 39654 is 6.

GCF(39648,39654) = 6

We will now calculate the prime factors of 39648 and 39654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39648 and 39654.

How to find the GCF of 39648 and 39654?

We will first find the prime factorization of 39648 and 39654. After we will calculate the factors of 39648 and 39654 and find the biggest common factor number .

Step-1: Prime Factorization of 39648

Prime factors of 39648 are 2, 3, 7, 59. Prime factorization of 39648 in exponential form is:

39648 = 2⁵ × 3¹ × 7¹ × 59¹

Step-2: Prime Factorization of 39654

Prime factors of 39654 are 2, 3, 2203. Prime factorization of 39654 in exponential form is:

39654 = 2¹ × 3² × 2203¹

Step-3: Factors of 39648

List of positive integer factors of 39648 that divides 39648 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 59, 84, 96, 112, 118, 168, 177, 224, 236, 336, 354, 413, 472, 672, 708, 826, 944, 1239, 1416, 1652, 1888, 2478, 2832, 3304, 4956, 5664, 6608, 9912, 13216, 19824

Step-4: Factors of 39654

List of positive integer factors of 39654 that divides 39648 without a remainder.

1, 2, 3, 6, 9, 18, 2203, 4406, 6609, 13218, 19827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39648 and 39654. The biggest common factor number is the GCF number.
So the greatest common factor 39648 and 39654 is 6.

Also check out the Least Common Multiple of 39648 and 39654