What is the Greatest Common Factor of 51135 and 51146?

Greatest common factor (GCF) of 51135 and 51146 is 1.

GCF(51135,51146) = 1

We will now calculate the prime factors of 51135 and 51146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51135 and 51146.

How to find the GCF of 51135 and 51146?

We will first find the prime factorization of 51135 and 51146. After we will calculate the factors of 51135 and 51146 and find the biggest common factor number .

Step-1: Prime Factorization of 51135

Prime factors of 51135 are 3, 5, 7, 487. Prime factorization of 51135 in exponential form is:

51135 = 3¹ × 5¹ × 7¹ × 487¹

Step-2: Prime Factorization of 51146

Prime factors of 51146 are 2, 107, 239. Prime factorization of 51146 in exponential form is:

51146 = 2¹ × 107¹ × 239¹

Step-3: Factors of 51135

List of positive integer factors of 51135 that divides 51135 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 487, 1461, 2435, 3409, 7305, 10227, 17045

Step-4: Factors of 51146

List of positive integer factors of 51146 that divides 51135 without a remainder.

1, 2, 107, 214, 239, 478, 25573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51135 and 51146. The biggest common factor number is the GCF number.
So the greatest common factor 51135 and 51146 is 1.

Also check out the Least Common Multiple of 51135 and 51146