What is the Greatest Common Factor of 3633 and 3639?

Greatest common factor (GCF) of 3633 and 3639 is 3.

GCF(3633,3639) = 3

We will now calculate the prime factors of 3633 and 3639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3633 and 3639.

How to find the GCF of 3633 and 3639?

We will first find the prime factorization of 3633 and 3639. After we will calculate the factors of 3633 and 3639 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3639

Prime factors of 3639 are 3, 1213. Prime factorization of 3639 in exponential form is:

3639 = 3¹ × 1213¹

Step-3: Factors of 3633

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

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

Step-4: Factors of 3639

List of positive integer factors of 3639 that divides 3633 without a remainder.

1, 3, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3633 and 3639. The biggest common factor number is the GCF number.
So the greatest common factor 3633 and 3639 is 3.

Also check out the Least Common Multiple of 3633 and 3639