What is the Greatest Common Factor of 51225 and 51240?

Greatest common factor (GCF) of 51225 and 51240 is 15.

GCF(51225,51240) = 15

We will now calculate the prime factors of 51225 and 51240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51225 and 51240.

How to find the GCF of 51225 and 51240?

We will first find the prime factorization of 51225 and 51240. After we will calculate the factors of 51225 and 51240 and find the biggest common factor number .

Step-1: Prime Factorization of 51225

Prime factors of 51225 are 3, 5, 683. Prime factorization of 51225 in exponential form is:

51225 = 3¹ × 5² × 683¹

Step-2: Prime Factorization of 51240

Prime factors of 51240 are 2, 3, 5, 7, 61. Prime factorization of 51240 in exponential form is:

51240 = 2³ × 3¹ × 5¹ × 7¹ × 61¹

Step-3: Factors of 51225

List of positive integer factors of 51225 that divides 51225 without a remainder.

1, 3, 5, 15, 25, 75, 683, 2049, 3415, 10245, 17075

Step-4: Factors of 51240

List of positive integer factors of 51240 that divides 51225 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 61, 70, 84, 105, 120, 122, 140, 168, 183, 210, 244, 280, 305, 366, 420, 427, 488, 610, 732, 840, 854, 915, 1220, 1281, 1464, 1708, 1830, 2135, 2440, 2562, 3416, 3660, 4270, 5124, 6405, 7320, 8540, 10248, 12810, 17080, 25620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51225 and 51240. The biggest common factor number is the GCF number.
So the greatest common factor 51225 and 51240 is 15.

Also check out the Least Common Multiple of 51225 and 51240