What is the Greatest Common Factor of 3605 and 3625?

Greatest common factor (GCF) of 3605 and 3625 is 5.

GCF(3605,3625) = 5

We will now calculate the prime factors of 3605 and 3625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3605 and 3625.

How to find the GCF of 3605 and 3625?

We will first find the prime factorization of 3605 and 3625. After we will calculate the factors of 3605 and 3625 and find the biggest common factor number .

Step-1: Prime Factorization of 3605

Prime factors of 3605 are 5, 7, 103. Prime factorization of 3605 in exponential form is:

3605 = 5¹ × 7¹ × 103¹

Step-2: Prime Factorization of 3625

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

3625 = 5³ × 29¹

Step-3: Factors of 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1, 5, 7, 35, 103, 515, 721

Step-4: Factors of 3625

List of positive integer factors of 3625 that divides 3605 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3605 and 3625. The biggest common factor number is the GCF number.
So the greatest common factor 3605 and 3625 is 5.

Also check out the Least Common Multiple of 3605 and 3625