What is the Greatest Common Factor of 51045 and 51060?

Greatest common factor (GCF) of 51045 and 51060 is 15.

GCF(51045,51060) = 15

We will now calculate the prime factors of 51045 and 51060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51045 and 51060.

How to find the GCF of 51045 and 51060?

We will first find the prime factorization of 51045 and 51060. After we will calculate the factors of 51045 and 51060 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51060

Prime factors of 51060 are 2, 3, 5, 23, 37. Prime factorization of 51060 in exponential form is:

51060 = 2² × 3¹ × 5¹ × 23¹ × 37¹

Step-3: Factors of 51045

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

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

Step-4: Factors of 51060

List of positive integer factors of 51060 that divides 51045 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 37, 46, 60, 69, 74, 92, 111, 115, 138, 148, 185, 222, 230, 276, 345, 370, 444, 460, 555, 690, 740, 851, 1110, 1380, 1702, 2220, 2553, 3404, 4255, 5106, 8510, 10212, 12765, 17020, 25530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51045 and 51060. The biggest common factor number is the GCF number.
So the greatest common factor 51045 and 51060 is 15.

Also check out the Least Common Multiple of 51045 and 51060