What is the Greatest Common Factor of 51102 and 51120?

Greatest common factor (GCF) of 51102 and 51120 is 18.

GCF(51102,51120) = 18

We will now calculate the prime factors of 51102 and 51120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51102 and 51120.

How to find the GCF of 51102 and 51120?

We will first find the prime factorization of 51102 and 51120. After we will calculate the factors of 51102 and 51120 and find the biggest common factor number .

Step-1: Prime Factorization of 51102

Prime factors of 51102 are 2, 3, 17, 167. Prime factorization of 51102 in exponential form is:

51102 = 2¹ × 3² × 17¹ × 167¹

Step-2: 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-3: Factors of 51102

List of positive integer factors of 51102 that divides 51102 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 167, 306, 334, 501, 1002, 1503, 2839, 3006, 5678, 8517, 17034, 25551

Step-4: Factors of 51120

List of positive integer factors of 51120 that divides 51102 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51102 and 51120. The biggest common factor number is the GCF number.
So the greatest common factor 51102 and 51120 is 18.

Also check out the Least Common Multiple of 51102 and 51120