What is the Greatest Common Factor of 30107 and 30125?

Greatest common factor (GCF) of 30107 and 30125 is 1.

GCF(30107,30125) = 1

We will now calculate the prime factors of 30107 and 30125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30107 and 30125.

How to find the GCF of 30107 and 30125?

We will first find the prime factorization of 30107 and 30125. After we will calculate the factors of 30107 and 30125 and find the biggest common factor number .

Step-1: Prime Factorization of 30107

Prime factors of 30107 are 7, 11, 17, 23. Prime factorization of 30107 in exponential form is:

30107 = 7¹ × 11¹ × 17¹ × 23¹

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 30107

List of positive integer factors of 30107 that divides 30107 without a remainder.

1, 7, 11, 17, 23, 77, 119, 161, 187, 253, 391, 1309, 1771, 2737, 4301

Step-4: Factors of 30125

List of positive integer factors of 30125 that divides 30107 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30107 and 30125. The biggest common factor number is the GCF number.
So the greatest common factor 30107 and 30125 is 1.

Also check out the Least Common Multiple of 30107 and 30125