What is the Greatest Common Factor of 51150 and 51158?

Greatest common factor (GCF) of 51150 and 51158 is 2.

GCF(51150,51158) = 2

We will now calculate the prime factors of 51150 and 51158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51150 and 51158.

How to find the GCF of 51150 and 51158?

We will first find the prime factorization of 51150 and 51158. After we will calculate the factors of 51150 and 51158 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 51158

Prime factors of 51158 are 2, 25579. Prime factorization of 51158 in exponential form is:

51158 = 2¹ × 25579¹

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 51158

List of positive integer factors of 51158 that divides 51150 without a remainder.

1, 2, 25579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51150 and 51158. The biggest common factor number is the GCF number.
So the greatest common factor 51150 and 51158 is 2.

Also check out the Least Common Multiple of 51150 and 51158