What is the Greatest Common Factor of 51120 and 51131?

Greatest common factor (GCF) of 51120 and 51131 is 1.

GCF(51120,51131) = 1

We will now calculate the prime factors of 51120 and 51131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51120 and 51131.

How to find the GCF of 51120 and 51131?

We will first find the prime factorization of 51120 and 51131. After we will calculate the factors of 51120 and 51131 and find the biggest common factor number .

Step-1: Prime Factorization of 51120

Prime factors of 51120 are 2, 3, 5, 71. Prime factorization of 51120 in exponential form is:

51120 = 2⁴ × 3² × 5¹ × 71¹

Step-2: Prime Factorization of 51131

Prime factors of 51131 are 51131. Prime factorization of 51131 in exponential form is:

51131 = 51131¹

Step-3: Factors of 51120

List of positive integer factors of 51120 that divides 51120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 71, 72, 80, 90, 120, 142, 144, 180, 213, 240, 284, 355, 360, 426, 568, 639, 710, 720, 852, 1065, 1136, 1278, 1420, 1704, 2130, 2556, 2840, 3195, 3408, 4260, 5112, 5680, 6390, 8520, 10224, 12780, 17040, 25560

Step-4: Factors of 51131

List of positive integer factors of 51131 that divides 51120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51120 and 51131. The biggest common factor number is the GCF number.
So the greatest common factor 51120 and 51131 is 1.

Also check out the Least Common Multiple of 51120 and 51131