What is the Greatest Common Factor of 3625 and 3636?

Greatest common factor (GCF) of 3625 and 3636 is 1.

GCF(3625,3636) = 1

We will now calculate the prime factors of 3625 and 3636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3625 and 3636.

How to find the GCF of 3625 and 3636?

We will first find the prime factorization of 3625 and 3636. After we will calculate the factors of 3625 and 3636 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 3636

Prime factors of 3636 are 2, 3, 101. Prime factorization of 3636 in exponential form is:

3636 = 2² × 3² × 101¹

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 3636

List of positive integer factors of 3636 that divides 3625 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3625 and 3636. The biggest common factor number is the GCF number.
So the greatest common factor 3625 and 3636 is 1.

Also check out the Least Common Multiple of 3625 and 3636