What is the Greatest Common Factor of 51330 and 51336?

Greatest common factor (GCF) of 51330 and 51336 is 6.

GCF(51330,51336) = 6

We will now calculate the prime factors of 51330 and 51336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51330 and 51336.

How to find the GCF of 51330 and 51336?

We will first find the prime factorization of 51330 and 51336. After we will calculate the factors of 51330 and 51336 and find the biggest common factor number .

Step-1: Prime Factorization of 51330

Prime factors of 51330 are 2, 3, 5, 29, 59. Prime factorization of 51330 in exponential form is:

51330 = 2¹ × 3¹ × 5¹ × 29¹ × 59¹

Step-2: Prime Factorization of 51336

Prime factors of 51336 are 2, 3, 23, 31. Prime factorization of 51336 in exponential form is:

51336 = 2³ × 3² × 23¹ × 31¹

Step-3: Factors of 51330

List of positive integer factors of 51330 that divides 51330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 59, 87, 118, 145, 174, 177, 290, 295, 354, 435, 590, 870, 885, 1711, 1770, 3422, 5133, 8555, 10266, 17110, 25665

Step-4: Factors of 51336

List of positive integer factors of 51336 that divides 51330 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 31, 36, 46, 62, 69, 72, 92, 93, 124, 138, 184, 186, 207, 248, 276, 279, 372, 414, 552, 558, 713, 744, 828, 1116, 1426, 1656, 2139, 2232, 2852, 4278, 5704, 6417, 8556, 12834, 17112, 25668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51330 and 51336. The biggest common factor number is the GCF number.
So the greatest common factor 51330 and 51336 is 6.

Also check out the Least Common Multiple of 51330 and 51336