What is the Greatest Common Factor of 39654 and 39664?

Greatest common factor (GCF) of 39654 and 39664 is 2.

GCF(39654,39664) = 2

We will now calculate the prime factors of 39654 and 39664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39654 and 39664.

How to find the GCF of 39654 and 39664?

We will first find the prime factorization of 39654 and 39664. After we will calculate the factors of 39654 and 39664 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 39654

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

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

Step-4: Factors of 39664

List of positive integer factors of 39664 that divides 39654 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39654 and 39664. The biggest common factor number is the GCF number.
So the greatest common factor 39654 and 39664 is 2.

Also check out the Least Common Multiple of 39654 and 39664