What is the Greatest Common Factor of 30108 and 30125?

Greatest common factor (GCF) of 30108 and 30125 is 1.

GCF(30108,30125) = 1

We will now calculate the prime factors of 30108 and 30125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30108 and 30125.

How to find the GCF of 30108 and 30125?

We will first find the prime factorization of 30108 and 30125. After we will calculate the factors of 30108 and 30125 and find the biggest common factor number .

Step-1: Prime Factorization of 30108

Prime factors of 30108 are 2, 3, 13, 193. Prime factorization of 30108 in exponential form is:

30108 = 2² × 3¹ × 13¹ × 193¹

Step-2: Prime Factorization of 30125

Prime factors of 30125 are 5, 241. Prime factorization of 30125 in exponential form is:

30125 = 5³ × 241¹

Step-3: Factors of 30108

List of positive integer factors of 30108 that divides 30108 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 193, 386, 579, 772, 1158, 2316, 2509, 5018, 7527, 10036, 15054

Step-4: Factors of 30125

List of positive integer factors of 30125 that divides 30108 without a remainder.

1, 5, 25, 125, 241, 1205, 6025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30108 and 30125. The biggest common factor number is the GCF number.
So the greatest common factor 30108 and 30125 is 1.

Also check out the Least Common Multiple of 30108 and 30125