What is the Greatest Common Factor of 3664 and 3677?

Greatest common factor (GCF) of 3664 and 3677 is 1.

GCF(3664,3677) = 1

We will now calculate the prime factors of 3664 and 3677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3664 and 3677.

How to find the GCF of 3664 and 3677?

We will first find the prime factorization of 3664 and 3677. After we will calculate the factors of 3664 and 3677 and find the biggest common factor number .

Step-1: Prime Factorization of 3664

Prime factors of 3664 are 2, 229. Prime factorization of 3664 in exponential form is:

3664 = 2⁴ × 229¹

Step-2: Prime Factorization of 3677

Prime factors of 3677 are 3677. Prime factorization of 3677 in exponential form is:

3677 = 3677¹

Step-3: Factors of 3664

List of positive integer factors of 3664 that divides 3664 without a remainder.

1, 2, 4, 8, 16, 229, 458, 916, 1832

Step-4: Factors of 3677

List of positive integer factors of 3677 that divides 3664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3664 and 3677. The biggest common factor number is the GCF number.
So the greatest common factor 3664 and 3677 is 1.

Also check out the Least Common Multiple of 3664 and 3677