What is the Greatest Common Factor of 51150 and 51160?

Greatest common factor (GCF) of 51150 and 51160 is 10.

GCF(51150,51160) = 10

We will now calculate the prime factors of 51150 and 51160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51150 and 51160.

How to find the GCF of 51150 and 51160?

We will first find the prime factorization of 51150 and 51160. After we will calculate the factors of 51150 and 51160 and find the biggest common factor number .

Step-1: Prime Factorization of 51150

Prime factors of 51150 are 2, 3, 5, 11, 31. Prime factorization of 51150 in exponential form is:

51150 = 2¹ × 3¹ × 5² × 11¹ × 31¹

Step-2: Prime Factorization of 51160

Prime factors of 51160 are 2, 5, 1279. Prime factorization of 51160 in exponential form is:

51160 = 2³ × 5¹ × 1279¹

Step-3: Factors of 51150

List of positive integer factors of 51150 that divides 51150 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 31, 33, 50, 55, 62, 66, 75, 93, 110, 150, 155, 165, 186, 275, 310, 330, 341, 465, 550, 682, 775, 825, 930, 1023, 1550, 1650, 1705, 2046, 2325, 3410, 4650, 5115, 8525, 10230, 17050, 25575

Step-4: Factors of 51160

List of positive integer factors of 51160 that divides 51150 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1279, 2558, 5116, 6395, 10232, 12790, 25580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51150 and 51160. The biggest common factor number is the GCF number.
So the greatest common factor 51150 and 51160 is 10.

Also check out the Least Common Multiple of 51150 and 51160