What is the Greatest Common Factor of 51360 and 51375?

Greatest common factor (GCF) of 51360 and 51375 is 15.

GCF(51360,51375) = 15

We will now calculate the prime factors of 51360 and 51375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51360 and 51375.

How to find the GCF of 51360 and 51375?

We will first find the prime factorization of 51360 and 51375. After we will calculate the factors of 51360 and 51375 and find the biggest common factor number .

Step-1: Prime Factorization of 51360

Prime factors of 51360 are 2, 3, 5, 107. Prime factorization of 51360 in exponential form is:

51360 = 2⁵ × 3¹ × 5¹ × 107¹

Step-2: Prime Factorization of 51375

Prime factors of 51375 are 3, 5, 137. Prime factorization of 51375 in exponential form is:

51375 = 3¹ × 5³ × 137¹

Step-3: Factors of 51360

List of positive integer factors of 51360 that divides 51360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 107, 120, 160, 214, 240, 321, 428, 480, 535, 642, 856, 1070, 1284, 1605, 1712, 2140, 2568, 3210, 3424, 4280, 5136, 6420, 8560, 10272, 12840, 17120, 25680

Step-4: Factors of 51375

List of positive integer factors of 51375 that divides 51360 without a remainder.

1, 3, 5, 15, 25, 75, 125, 137, 375, 411, 685, 2055, 3425, 10275, 17125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51360 and 51375. The biggest common factor number is the GCF number.
So the greatest common factor 51360 and 51375 is 15.

Also check out the Least Common Multiple of 51360 and 51375