What is the Greatest Common Factor of 51675 and 51690?

Greatest common factor (GCF) of 51675 and 51690 is 15.

GCF(51675,51690) = 15

We will now calculate the prime factors of 51675 and 51690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51675 and 51690.

How to find the GCF of 51675 and 51690?

We will first find the prime factorization of 51675 and 51690. After we will calculate the factors of 51675 and 51690 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51690

Prime factors of 51690 are 2, 3, 5, 1723. Prime factorization of 51690 in exponential form is:

51690 = 2¹ × 3¹ × 5¹ × 1723¹

Step-3: Factors of 51675

List of positive integer factors of 51675 that divides 51675 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

Step-4: Factors of 51690

List of positive integer factors of 51690 that divides 51675 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1723, 3446, 5169, 8615, 10338, 17230, 25845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51675 and 51690. The biggest common factor number is the GCF number.
So the greatest common factor 51675 and 51690 is 15.

Also check out the Least Common Multiple of 51675 and 51690