What is the Greatest Common Factor of 51414 and 51425?

Greatest common factor (GCF) of 51414 and 51425 is 11.

GCF(51414,51425) = 11

We will now calculate the prime factors of 51414 and 51425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51414 and 51425.

How to find the GCF of 51414 and 51425?

We will first find the prime factorization of 51414 and 51425. After we will calculate the factors of 51414 and 51425 and find the biggest common factor number .

Step-1: Prime Factorization of 51414

Prime factors of 51414 are 2, 3, 11, 19, 41. Prime factorization of 51414 in exponential form is:

51414 = 2¹ × 3¹ × 11¹ × 19¹ × 41¹

Step-2: Prime Factorization of 51425

Prime factors of 51425 are 5, 11, 17. Prime factorization of 51425 in exponential form is:

51425 = 5² × 11² × 17¹

Step-3: Factors of 51414

List of positive integer factors of 51414 that divides 51414 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 41, 57, 66, 82, 114, 123, 209, 246, 418, 451, 627, 779, 902, 1254, 1353, 1558, 2337, 2706, 4674, 8569, 17138, 25707

Step-4: Factors of 51425

List of positive integer factors of 51425 that divides 51414 without a remainder.

1, 5, 11, 17, 25, 55, 85, 121, 187, 275, 425, 605, 935, 2057, 3025, 4675, 10285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51414 and 51425. The biggest common factor number is the GCF number.
So the greatest common factor 51414 and 51425 is 11.

Also check out the Least Common Multiple of 51414 and 51425