What is the Greatest Common Factor of 51665 and 51675?

Greatest common factor (GCF) of 51665 and 51675 is 5.

GCF(51665,51675) = 5

We will now calculate the prime factors of 51665 and 51675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51665 and 51675.

How to find the GCF of 51665 and 51675?

We will first find the prime factorization of 51665 and 51675. After we will calculate the factors of 51665 and 51675 and find the biggest common factor number .

Step-1: Prime Factorization of 51665

Prime factors of 51665 are 5, 10333. Prime factorization of 51665 in exponential form is:

51665 = 5¹ × 10333¹

Step-2: Prime Factorization of 51675

Prime factors of 51675 are 3, 5, 13, 53. Prime factorization of 51675 in exponential form is:

51675 = 3¹ × 5² × 13¹ × 53¹

Step-3: Factors of 51665

List of positive integer factors of 51665 that divides 51665 without a remainder.

1, 5, 10333

Step-4: Factors of 51675

List of positive integer factors of 51675 that divides 51665 without a remainder.

1, 3, 5, 13, 15, 25, 39, 53, 65, 75, 159, 195, 265, 325, 689, 795, 975, 1325, 2067, 3445, 3975, 10335, 17225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51665 and 51675. The biggest common factor number is the GCF number.
So the greatest common factor 51665 and 51675 is 5.

Also check out the Least Common Multiple of 51665 and 51675