What is the Greatest Common Factor of 3626 and 3632?

Greatest common factor (GCF) of 3626 and 3632 is 2.

GCF(3626,3632) = 2

We will now calculate the prime factors of 3626 and 3632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3626 and 3632.

How to find the GCF of 3626 and 3632?

We will first find the prime factorization of 3626 and 3632. After we will calculate the factors of 3626 and 3632 and find the biggest common factor number .

Step-1: Prime Factorization of 3626

Prime factors of 3626 are 2, 7, 37. Prime factorization of 3626 in exponential form is:

3626 = 2¹ × 7² × 37¹

Step-2: Prime Factorization of 3632

Prime factors of 3632 are 2, 227. Prime factorization of 3632 in exponential form is:

3632 = 2⁴ × 227¹

Step-3: Factors of 3626

List of positive integer factors of 3626 that divides 3626 without a remainder.

1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813

Step-4: Factors of 3632

List of positive integer factors of 3632 that divides 3626 without a remainder.

1, 2, 4, 8, 16, 227, 454, 908, 1816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3626 and 3632. The biggest common factor number is the GCF number.
So the greatest common factor 3626 and 3632 is 2.

Also check out the Least Common Multiple of 3626 and 3632