What is the Greatest Common Factor of 51036 and 51045?

Greatest common factor (GCF) of 51036 and 51045 is 3.

GCF(51036,51045) = 3

We will now calculate the prime factors of 51036 and 51045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51036 and 51045.

How to find the GCF of 51036 and 51045?

We will first find the prime factorization of 51036 and 51045. After we will calculate the factors of 51036 and 51045 and find the biggest common factor number .

Step-1: Prime Factorization of 51036

Prime factors of 51036 are 2, 3, 4253. Prime factorization of 51036 in exponential form is:

51036 = 2² × 3¹ × 4253¹

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 51036

List of positive integer factors of 51036 that divides 51036 without a remainder.

1, 2, 3, 4, 6, 12, 4253, 8506, 12759, 17012, 25518

Step-4: Factors of 51045

List of positive integer factors of 51045 that divides 51036 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 51036 and 51045. The biggest common factor number is the GCF number.
So the greatest common factor 51036 and 51045 is 3.

Also check out the Least Common Multiple of 51036 and 51045