What is the Greatest Common Factor of 51120 and 51127?

Greatest common factor (GCF) of 51120 and 51127 is 1.

GCF(51120,51127) = 1

We will now calculate the prime factors of 51120 and 51127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51120 and 51127.

How to find the GCF of 51120 and 51127?

We will first find the prime factorization of 51120 and 51127. After we will calculate the factors of 51120 and 51127 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 51127

Prime factors of 51127 are 29, 41, 43. Prime factorization of 51127 in exponential form is:

51127 = 29¹ × 41¹ × 43¹

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 51127

List of positive integer factors of 51127 that divides 51120 without a remainder.

1, 29, 41, 43, 1189, 1247, 1763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51120 and 51127. The biggest common factor number is the GCF number.
So the greatest common factor 51120 and 51127 is 1.

Also check out the Least Common Multiple of 51120 and 51127