What is the Greatest Common Factor of 51165 and 51175?

Greatest common factor (GCF) of 51165 and 51175 is 5.

GCF(51165,51175) = 5

We will now calculate the prime factors of 51165 and 51175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51165 and 51175.

How to find the GCF of 51165 and 51175?

We will first find the prime factorization of 51165 and 51175. After we will calculate the factors of 51165 and 51175 and find the biggest common factor number .

Step-1: Prime Factorization of 51165

Prime factors of 51165 are 3, 5, 379. Prime factorization of 51165 in exponential form is:

51165 = 3³ × 5¹ × 379¹

Step-2: Prime Factorization of 51175

Prime factors of 51175 are 5, 23, 89. Prime factorization of 51175 in exponential form is:

51175 = 5² × 23¹ × 89¹

Step-3: Factors of 51165

List of positive integer factors of 51165 that divides 51165 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 379, 1137, 1895, 3411, 5685, 10233, 17055

Step-4: Factors of 51175

List of positive integer factors of 51175 that divides 51165 without a remainder.

1, 5, 23, 25, 89, 115, 445, 575, 2047, 2225, 10235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51165 and 51175. The biggest common factor number is the GCF number.
So the greatest common factor 51165 and 51175 is 5.

Also check out the Least Common Multiple of 51165 and 51175