What is the Greatest Common Factor of 51030 and 51045?

Greatest common factor (GCF) of 51030 and 51045 is 15.

GCF(51030,51045) = 15

We will now calculate the prime factors of 51030 and 51045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51030 and 51045.

How to find the GCF of 51030 and 51045?

We will first find the prime factorization of 51030 and 51045. After we will calculate the factors of 51030 and 51045 and find the biggest common factor number .

Step-1: Prime Factorization of 51030

Prime factors of 51030 are 2, 3, 5, 7. Prime factorization of 51030 in exponential form is:

51030 = 2¹ × 3⁶ × 5¹ × 7¹

Step-2: Prime Factorization of 51045

Prime factors of 51045 are 3, 5, 41, 83. Prime factorization of 51045 in exponential form is:

51045 = 3¹ × 5¹ × 41¹ × 83¹

Step-3: Factors of 51030

List of positive integer factors of 51030 that divides 51030 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 243, 270, 315, 378, 405, 486, 567, 630, 729, 810, 945, 1134, 1215, 1458, 1701, 1890, 2430, 2835, 3402, 3645, 5103, 5670, 7290, 8505, 10206, 17010, 25515

Step-4: Factors of 51045

List of positive integer factors of 51045 that divides 51030 without a remainder.

1, 3, 5, 15, 41, 83, 123, 205, 249, 415, 615, 1245, 3403, 10209, 17015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51030 and 51045. The biggest common factor number is the GCF number.
So the greatest common factor 51030 and 51045 is 15.

Also check out the Least Common Multiple of 51030 and 51045