What is the Greatest Common Factor of 51222 and 51240?

Greatest common factor (GCF) of 51222 and 51240 is 6.

GCF(51222,51240) = 6

We will now calculate the prime factors of 51222 and 51240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51222 and 51240.

How to find the GCF of 51222 and 51240?

We will first find the prime factorization of 51222 and 51240. After we will calculate the factors of 51222 and 51240 and find the biggest common factor number .

Step-1: Prime Factorization of 51222

Prime factors of 51222 are 2, 3, 8537. Prime factorization of 51222 in exponential form is:

51222 = 2¹ × 3¹ × 8537¹

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 51222

List of positive integer factors of 51222 that divides 51222 without a remainder.

1, 2, 3, 6, 8537, 17074, 25611

Step-4: Factors of 51240

List of positive integer factors of 51240 that divides 51222 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 51222 and 51240. The biggest common factor number is the GCF number.
So the greatest common factor 51222 and 51240 is 6.

Also check out the Least Common Multiple of 51222 and 51240