What is the Greatest Common Factor of 30114 and 30131?

Greatest common factor (GCF) of 30114 and 30131 is 1.

GCF(30114,30131) = 1

We will now calculate the prime factors of 30114 and 30131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30114 and 30131.

How to find the GCF of 30114 and 30131?

We will first find the prime factorization of 30114 and 30131. After we will calculate the factors of 30114 and 30131 and find the biggest common factor number .

Step-1: Prime Factorization of 30114

Prime factors of 30114 are 2, 3, 7, 239. Prime factorization of 30114 in exponential form is:

30114 = 2¹ × 3² × 7¹ × 239¹

Step-2: Prime Factorization of 30131

Prime factors of 30131 are 29, 1039. Prime factorization of 30131 in exponential form is:

30131 = 29¹ × 1039¹

Step-3: Factors of 30114

List of positive integer factors of 30114 that divides 30114 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 239, 478, 717, 1434, 1673, 2151, 3346, 4302, 5019, 10038, 15057

Step-4: Factors of 30131

List of positive integer factors of 30131 that divides 30114 without a remainder.

1, 29, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30114 and 30131. The biggest common factor number is the GCF number.
So the greatest common factor 30114 and 30131 is 1.

Also check out the Least Common Multiple of 30114 and 30131