What is the Greatest Common Factor of 36625 and 36629?

Greatest common factor (GCF) of 36625 and 36629 is 1.

GCF(36625,36629) = 1

We will now calculate the prime factors of 36625 and 36629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36625 and 36629.

How to find the GCF of 36625 and 36629?

We will first find the prime factorization of 36625 and 36629. After we will calculate the factors of 36625 and 36629 and find the biggest common factor number .

Step-1: Prime Factorization of 36625

Prime factors of 36625 are 5, 293. Prime factorization of 36625 in exponential form is:

36625 = 5³ × 293¹

Step-2: Prime Factorization of 36629

Prime factors of 36629 are 36629. Prime factorization of 36629 in exponential form is:

36629 = 36629¹

Step-3: Factors of 36625

List of positive integer factors of 36625 that divides 36625 without a remainder.

1, 5, 25, 125, 293, 1465, 7325

Step-4: Factors of 36629

List of positive integer factors of 36629 that divides 36625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36625 and 36629. The biggest common factor number is the GCF number.
So the greatest common factor 36625 and 36629 is 1.

Also check out the Least Common Multiple of 36625 and 36629