What is the Greatest Common Factor of 51975 and 51990?

Greatest common factor (GCF) of 51975 and 51990 is 15.

GCF(51975,51990) = 15

We will now calculate the prime factors of 51975 and 51990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51975 and 51990.

How to find the GCF of 51975 and 51990?

We will first find the prime factorization of 51975 and 51990. After we will calculate the factors of 51975 and 51990 and find the biggest common factor number .

Step-1: Prime Factorization of 51975

Prime factors of 51975 are 3, 5, 7, 11. Prime factorization of 51975 in exponential form is:

51975 = 3³ × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 51990

Prime factors of 51990 are 2, 3, 5, 1733. Prime factorization of 51990 in exponential form is:

51990 = 2¹ × 3¹ × 5¹ × 1733¹

Step-3: Factors of 51975

List of positive integer factors of 51975 that divides 51975 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 25, 27, 33, 35, 45, 55, 63, 75, 77, 99, 105, 135, 165, 175, 189, 225, 231, 275, 297, 315, 385, 495, 525, 675, 693, 825, 945, 1155, 1485, 1575, 1925, 2079, 2475, 3465, 4725, 5775, 7425, 10395, 17325

Step-4: Factors of 51990

List of positive integer factors of 51990 that divides 51975 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1733, 3466, 5199, 8665, 10398, 17330, 25995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51975 and 51990. The biggest common factor number is the GCF number.
So the greatest common factor 51975 and 51990 is 15.

Also check out the Least Common Multiple of 51975 and 51990