What is the Greatest Common Factor of 39664 and 39668?

Greatest common factor (GCF) of 39664 and 39668 is 4.

GCF(39664,39668) = 4

We will now calculate the prime factors of 39664 and 39668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39664 and 39668.

How to find the GCF of 39664 and 39668?

We will first find the prime factorization of 39664 and 39668. After we will calculate the factors of 39664 and 39668 and find the biggest common factor number .

Step-1: Prime Factorization of 39664

Prime factors of 39664 are 2, 37, 67. Prime factorization of 39664 in exponential form is:

39664 = 2⁴ × 37¹ × 67¹

Step-2: Prime Factorization of 39668

Prime factors of 39668 are 2, 47, 211. Prime factorization of 39668 in exponential form is:

39668 = 2² × 47¹ × 211¹

Step-3: Factors of 39664

List of positive integer factors of 39664 that divides 39664 without a remainder.

1, 2, 4, 8, 16, 37, 67, 74, 134, 148, 268, 296, 536, 592, 1072, 2479, 4958, 9916, 19832

Step-4: Factors of 39668

List of positive integer factors of 39668 that divides 39664 without a remainder.

1, 2, 4, 47, 94, 188, 211, 422, 844, 9917, 19834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39664 and 39668. The biggest common factor number is the GCF number.
So the greatest common factor 39664 and 39668 is 4.

Also check out the Least Common Multiple of 39664 and 39668