What is the Greatest Common Factor of 51120 and 51126?

Greatest common factor (GCF) of 51120 and 51126 is 6.

GCF(51120,51126) = 6

We will now calculate the prime factors of 51120 and 51126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51120 and 51126.

How to find the GCF of 51120 and 51126?

We will first find the prime factorization of 51120 and 51126. After we will calculate the factors of 51120 and 51126 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 51126

Prime factors of 51126 are 2, 3, 8521. Prime factorization of 51126 in exponential form is:

51126 = 2¹ × 3¹ × 8521¹

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 51126

List of positive integer factors of 51126 that divides 51120 without a remainder.

1, 2, 3, 6, 8521, 17042, 25563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51120 and 51126. The biggest common factor number is the GCF number.
So the greatest common factor 51120 and 51126 is 6.

Also check out the Least Common Multiple of 51120 and 51126