What is the Greatest Common Factor of 30051 and 30065?

Greatest common factor (GCF) of 30051 and 30065 is 7.

GCF(30051,30065) = 7

We will now calculate the prime factors of 30051 and 30065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30051 and 30065.

How to find the GCF of 30051 and 30065?

We will first find the prime factorization of 30051 and 30065. After we will calculate the factors of 30051 and 30065 and find the biggest common factor number .

Step-1: Prime Factorization of 30051

Prime factors of 30051 are 3, 7, 53. Prime factorization of 30051 in exponential form is:

30051 = 3⁴ × 7¹ × 53¹

Step-2: Prime Factorization of 30065

Prime factors of 30065 are 5, 7, 859. Prime factorization of 30065 in exponential form is:

30065 = 5¹ × 7¹ × 859¹

Step-3: Factors of 30051

List of positive integer factors of 30051 that divides 30051 without a remainder.

1, 3, 7, 9, 21, 27, 53, 63, 81, 159, 189, 371, 477, 567, 1113, 1431, 3339, 4293, 10017

Step-4: Factors of 30065

List of positive integer factors of 30065 that divides 30051 without a remainder.

1, 5, 7, 35, 859, 4295, 6013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30051 and 30065. The biggest common factor number is the GCF number.
So the greatest common factor 30051 and 30065 is 7.

Also check out the Least Common Multiple of 30051 and 30065