What is the Greatest Common Factor of 3625 and 3629?

Greatest common factor (GCF) of 3625 and 3629 is 1.

GCF(3625,3629) = 1

We will now calculate the prime factors of 3625 and 3629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3625 and 3629.

How to find the GCF of 3625 and 3629?

We will first find the prime factorization of 3625 and 3629. After we will calculate the factors of 3625 and 3629 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 3629

Prime factors of 3629 are 19, 191. Prime factorization of 3629 in exponential form is:

3629 = 19¹ × 191¹

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 3629

List of positive integer factors of 3629 that divides 3625 without a remainder.

1, 19, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3625 and 3629. The biggest common factor number is the GCF number.
So the greatest common factor 3625 and 3629 is 1.

Also check out the Least Common Multiple of 3625 and 3629