What is the Greatest Common Factor of 51330 and 51350?

Greatest common factor (GCF) of 51330 and 51350 is 10.

GCF(51330,51350) = 10

We will now calculate the prime factors of 51330 and 51350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51330 and 51350.

How to find the GCF of 51330 and 51350?

We will first find the prime factorization of 51330 and 51350. After we will calculate the factors of 51330 and 51350 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 51350

Prime factors of 51350 are 2, 5, 13, 79. Prime factorization of 51350 in exponential form is:

51350 = 2¹ × 5² × 13¹ × 79¹

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 51350

List of positive integer factors of 51350 that divides 51330 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 79, 130, 158, 325, 395, 650, 790, 1027, 1975, 2054, 3950, 5135, 10270, 25675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51330 and 51350. The biggest common factor number is the GCF number.
So the greatest common factor 51330 and 51350 is 10.

Also check out the Least Common Multiple of 51330 and 51350