What is the Greatest Common Factor of 51120 and 51129?

Greatest common factor (GCF) of 51120 and 51129 is 9.

GCF(51120,51129) = 9

We will now calculate the prime factors of 51120 and 51129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51120 and 51129.

How to find the GCF of 51120 and 51129?

We will first find the prime factorization of 51120 and 51129. After we will calculate the factors of 51120 and 51129 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 51129

Prime factors of 51129 are 3, 13, 19, 23. Prime factorization of 51129 in exponential form is:

51129 = 3² × 13¹ × 19¹ × 23¹

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 51129

List of positive integer factors of 51129 that divides 51120 without a remainder.

1, 3, 9, 13, 19, 23, 39, 57, 69, 117, 171, 207, 247, 299, 437, 741, 897, 1311, 2223, 2691, 3933, 5681, 17043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51120 and 51129. The biggest common factor number is the GCF number.
So the greatest common factor 51120 and 51129 is 9.

Also check out the Least Common Multiple of 51120 and 51129