What is the Greatest Common Factor of 3616 and 3634?

Greatest common factor (GCF) of 3616 and 3634 is 2.

GCF(3616,3634) = 2

We will now calculate the prime factors of 3616 and 3634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3616 and 3634.

How to find the GCF of 3616 and 3634?

We will first find the prime factorization of 3616 and 3634. After we will calculate the factors of 3616 and 3634 and find the biggest common factor number .

Step-1: Prime Factorization of 3616

Prime factors of 3616 are 2, 113. Prime factorization of 3616 in exponential form is:

3616 = 2⁵ × 113¹

Step-2: Prime Factorization of 3634

Prime factors of 3634 are 2, 23, 79. Prime factorization of 3634 in exponential form is:

3634 = 2¹ × 23¹ × 79¹

Step-3: Factors of 3616

List of positive integer factors of 3616 that divides 3616 without a remainder.

1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808

Step-4: Factors of 3634

List of positive integer factors of 3634 that divides 3616 without a remainder.

1, 2, 23, 46, 79, 158, 1817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3616 and 3634. The biggest common factor number is the GCF number.
So the greatest common factor 3616 and 3634 is 2.

Also check out the Least Common Multiple of 3616 and 3634