What is the Greatest Common Factor of 51045 and 51050?

Greatest common factor (GCF) of 51045 and 51050 is 5.

GCF(51045,51050) = 5

We will now calculate the prime factors of 51045 and 51050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51045 and 51050.

How to find the GCF of 51045 and 51050?

We will first find the prime factorization of 51045 and 51050. After we will calculate the factors of 51045 and 51050 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 51050

Prime factors of 51050 are 2, 5, 1021. Prime factorization of 51050 in exponential form is:

51050 = 2¹ × 5² × 1021¹

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 51050

List of positive integer factors of 51050 that divides 51045 without a remainder.

1, 2, 5, 10, 25, 50, 1021, 2042, 5105, 10210, 25525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51045 and 51050. The biggest common factor number is the GCF number.
So the greatest common factor 51045 and 51050 is 5.

Also check out the Least Common Multiple of 51045 and 51050