What is the Greatest Common Factor of 51232 and 51240?

Greatest common factor (GCF) of 51232 and 51240 is 8.

GCF(51232,51240) = 8

We will now calculate the prime factors of 51232 and 51240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51232 and 51240.

How to find the GCF of 51232 and 51240?

We will first find the prime factorization of 51232 and 51240. After we will calculate the factors of 51232 and 51240 and find the biggest common factor number .

Step-1: Prime Factorization of 51232

Prime factors of 51232 are 2, 1601. Prime factorization of 51232 in exponential form is:

51232 = 2⁵ × 1601¹

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 51232

List of positive integer factors of 51232 that divides 51232 without a remainder.

1, 2, 4, 8, 16, 32, 1601, 3202, 6404, 12808, 25616

Step-4: Factors of 51240

List of positive integer factors of 51240 that divides 51232 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 51232 and 51240. The biggest common factor number is the GCF number.
So the greatest common factor 51232 and 51240 is 8.

Also check out the Least Common Multiple of 51232 and 51240