What is the Greatest Common Factor of 51240 and 51252?

Greatest common factor (GCF) of 51240 and 51252 is 12.

GCF(51240,51252) = 12

We will now calculate the prime factors of 51240 and 51252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51240 and 51252.

How to find the GCF of 51240 and 51252?

We will first find the prime factorization of 51240 and 51252. After we will calculate the factors of 51240 and 51252 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51252

Prime factors of 51252 are 2, 3, 4271. Prime factorization of 51252 in exponential form is:

51252 = 2² × 3¹ × 4271¹

Step-3: Factors of 51240

List of positive integer factors of 51240 that divides 51240 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

Step-4: Factors of 51252

List of positive integer factors of 51252 that divides 51240 without a remainder.

1, 2, 3, 4, 6, 12, 4271, 8542, 12813, 17084, 25626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51240 and 51252. The biggest common factor number is the GCF number.
So the greatest common factor 51240 and 51252 is 12.

Also check out the Least Common Multiple of 51240 and 51252