What is the Greatest Common Factor of 3625 and 3630?

Greatest common factor (GCF) of 3625 and 3630 is 5.

GCF(3625,3630) = 5

We will now calculate the prime factors of 3625 and 3630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3625 and 3630.

How to find the GCF of 3625 and 3630?

We will first find the prime factorization of 3625 and 3630. After we will calculate the factors of 3625 and 3630 and find the biggest common factor number .

Step-1: Prime Factorization of 3625

Prime factors of 3625 are 5, 29. Prime factorization of 3625 in exponential form is:

3625 = 5³ × 29¹

Step-2: Prime Factorization of 3630

Prime factors of 3630 are 2, 3, 5, 11. Prime factorization of 3630 in exponential form is:

3630 = 2¹ × 3¹ × 5¹ × 11²

Step-3: Factors of 3625

List of positive integer factors of 3625 that divides 3625 without a remainder.

1, 5, 25, 29, 125, 145, 725

Step-4: Factors of 3630

List of positive integer factors of 3630 that divides 3625 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3625 and 3630. The biggest common factor number is the GCF number.
So the greatest common factor 3625 and 3630 is 5.

Also check out the Least Common Multiple of 3625 and 3630