What is the Greatest Common Factor of 51120 and 51136?

Greatest common factor (GCF) of 51120 and 51136 is 16.

GCF(51120,51136) = 16

We will now calculate the prime factors of 51120 and 51136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51120 and 51136.

How to find the GCF of 51120 and 51136?

We will first find the prime factorization of 51120 and 51136. After we will calculate the factors of 51120 and 51136 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 51136

Prime factors of 51136 are 2, 17, 47. Prime factorization of 51136 in exponential form is:

51136 = 2⁶ × 17¹ × 47¹

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 51136

List of positive integer factors of 51136 that divides 51120 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 47, 64, 68, 94, 136, 188, 272, 376, 544, 752, 799, 1088, 1504, 1598, 3008, 3196, 6392, 12784, 25568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51120 and 51136. The biggest common factor number is the GCF number.
So the greatest common factor 51120 and 51136 is 16.

Also check out the Least Common Multiple of 51120 and 51136