What is the Greatest Common Factor of 51226 and 51240?

Greatest common factor (GCF) of 51226 and 51240 is 14.

GCF(51226,51240) = 14

We will now calculate the prime factors of 51226 and 51240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51226 and 51240.

How to find the GCF of 51226 and 51240?

We will first find the prime factorization of 51226 and 51240. After we will calculate the factors of 51226 and 51240 and find the biggest common factor number .

Step-1: Prime Factorization of 51226

Prime factors of 51226 are 2, 7, 3659. Prime factorization of 51226 in exponential form is:

51226 = 2¹ × 7¹ × 3659¹

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 51226

List of positive integer factors of 51226 that divides 51226 without a remainder.

1, 2, 7, 14, 3659, 7318, 25613

Step-4: Factors of 51240

List of positive integer factors of 51240 that divides 51226 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 51226 and 51240. The biggest common factor number is the GCF number.
So the greatest common factor 51226 and 51240 is 14.

Also check out the Least Common Multiple of 51226 and 51240