What is the Greatest Common Factor of 39648 and 39666?

Greatest common factor (GCF) of 39648 and 39666 is 6.

GCF(39648,39666) = 6

We will now calculate the prime factors of 39648 and 39666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39648 and 39666.

How to find the GCF of 39648 and 39666?

We will first find the prime factorization of 39648 and 39666. After we will calculate the factors of 39648 and 39666 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 39666

Prime factors of 39666 are 2, 3, 11, 601. Prime factorization of 39666 in exponential form is:

39666 = 2¹ × 3¹ × 11¹ × 601¹

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 39666

List of positive integer factors of 39666 that divides 39648 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 601, 1202, 1803, 3606, 6611, 13222, 19833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39648 and 39666. The biggest common factor number is the GCF number.
So the greatest common factor 39648 and 39666 is 6.

Also check out the Least Common Multiple of 39648 and 39666