What is the Greatest Common Factor of 3626 and 3633?

Greatest common factor (GCF) of 3626 and 3633 is 7.

GCF(3626,3633) = 7

We will now calculate the prime factors of 3626 and 3633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3626 and 3633.

How to find the GCF of 3626 and 3633?

We will first find the prime factorization of 3626 and 3633. After we will calculate the factors of 3626 and 3633 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 3633

Prime factors of 3633 are 3, 7, 173. Prime factorization of 3633 in exponential form is:

3633 = 3¹ × 7¹ × 173¹

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 3633

List of positive integer factors of 3633 that divides 3626 without a remainder.

1, 3, 7, 21, 173, 519, 1211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3626 and 3633. The biggest common factor number is the GCF number.
So the greatest common factor 3626 and 3633 is 7.

Also check out the Least Common Multiple of 3626 and 3633