What is the Greatest Common Factor of 30045 and 30051?

Greatest common factor (GCF) of 30045 and 30051 is 3.

GCF(30045,30051) = 3

We will now calculate the prime factors of 30045 and 30051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30045 and 30051.

How to find the GCF of 30045 and 30051?

We will first find the prime factorization of 30045 and 30051. After we will calculate the factors of 30045 and 30051 and find the biggest common factor number .

Step-1: Prime Factorization of 30045

Prime factors of 30045 are 3, 5, 2003. Prime factorization of 30045 in exponential form is:

30045 = 3¹ × 5¹ × 2003¹

Step-2: 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-3: Factors of 30045

List of positive integer factors of 30045 that divides 30045 without a remainder.

1, 3, 5, 15, 2003, 6009, 10015

Step-4: Factors of 30051

List of positive integer factors of 30051 that divides 30045 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30045 and 30051. The biggest common factor number is the GCF number.
So the greatest common factor 30045 and 30051 is 3.

Also check out the Least Common Multiple of 30045 and 30051