What is the Greatest Common Factor of 36625 and 36639?

Greatest common factor (GCF) of 36625 and 36639 is 1.

GCF(36625,36639) = 1

We will now calculate the prime factors of 36625 and 36639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36625 and 36639.

How to find the GCF of 36625 and 36639?

We will first find the prime factorization of 36625 and 36639. After we will calculate the factors of 36625 and 36639 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 36639

Prime factors of 36639 are 3, 23, 59. Prime factorization of 36639 in exponential form is:

36639 = 3³ × 23¹ × 59¹

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 36639

List of positive integer factors of 36639 that divides 36625 without a remainder.

1, 3, 9, 23, 27, 59, 69, 177, 207, 531, 621, 1357, 1593, 4071, 12213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36625 and 36639. The biggest common factor number is the GCF number.
So the greatest common factor 36625 and 36639 is 1.

Also check out the Least Common Multiple of 36625 and 36639