What is the Greatest Common Factor of 51045 and 51065?

Greatest common factor (GCF) of 51045 and 51065 is 5.

GCF(51045,51065) = 5

We will now calculate the prime factors of 51045 and 51065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51045 and 51065.

How to find the GCF of 51045 and 51065?

We will first find the prime factorization of 51045 and 51065. After we will calculate the factors of 51045 and 51065 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 51065

Prime factors of 51065 are 5, 7, 1459. Prime factorization of 51065 in exponential form is:

51065 = 5¹ × 7¹ × 1459¹

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 51065

List of positive integer factors of 51065 that divides 51045 without a remainder.

1, 5, 7, 35, 1459, 7295, 10213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51045 and 51065. The biggest common factor number is the GCF number.
So the greatest common factor 51045 and 51065 is 5.

Also check out the Least Common Multiple of 51045 and 51065