What is the Greatest Common Factor of 51150 and 51166?

Greatest common factor (GCF) of 51150 and 51166 is 2.

GCF(51150,51166) = 2

We will now calculate the prime factors of 51150 and 51166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51150 and 51166.

How to find the GCF of 51150 and 51166?

We will first find the prime factorization of 51150 and 51166. After we will calculate the factors of 51150 and 51166 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 51166

Prime factors of 51166 are 2, 25583. Prime factorization of 51166 in exponential form is:

51166 = 2¹ × 25583¹

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 51166

List of positive integer factors of 51166 that divides 51150 without a remainder.

1, 2, 25583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51150 and 51166. The biggest common factor number is the GCF number.
So the greatest common factor 51150 and 51166 is 2.

Also check out the Least Common Multiple of 51150 and 51166