What is the Greatest Common Factor of 51425 and 51442?

Greatest common factor (GCF) of 51425 and 51442 is 17.

GCF(51425,51442) = 17

We will now calculate the prime factors of 51425 and 51442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51425 and 51442.

How to find the GCF of 51425 and 51442?

We will first find the prime factorization of 51425 and 51442. After we will calculate the factors of 51425 and 51442 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51442

Prime factors of 51442 are 2, 17, 89. Prime factorization of 51442 in exponential form is:

51442 = 2¹ × 17² × 89¹

Step-3: Factors of 51425

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

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

Step-4: Factors of 51442

List of positive integer factors of 51442 that divides 51425 without a remainder.

1, 2, 17, 34, 89, 178, 289, 578, 1513, 3026, 25721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51425 and 51442. The biggest common factor number is the GCF number.
So the greatest common factor 51425 and 51442 is 17.

Also check out the Least Common Multiple of 51425 and 51442