What is the Greatest Common Factor of 51240 and 51254?

Greatest common factor (GCF) of 51240 and 51254 is 14.

GCF(51240,51254) = 14

We will now calculate the prime factors of 51240 and 51254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51240 and 51254.

How to find the GCF of 51240 and 51254?

We will first find the prime factorization of 51240 and 51254. After we will calculate the factors of 51240 and 51254 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 51254

Prime factors of 51254 are 2, 7, 523. Prime factorization of 51254 in exponential form is:

51254 = 2¹ × 7² × 523¹

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 51254

List of positive integer factors of 51254 that divides 51240 without a remainder.

1, 2, 7, 14, 49, 98, 523, 1046, 3661, 7322, 25627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51240 and 51254. The biggest common factor number is the GCF number.
So the greatest common factor 51240 and 51254 is 14.

Also check out the Least Common Multiple of 51240 and 51254