What is the Greatest Common Factor of 425 and 442?

Greatest common factor (GCF) of 425 and 442 is 17.

GCF(425,442) = 17

We will now calculate the prime factors of 425 and 442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 425 and 442.

How to find the GCF of 425 and 442?

We will first find the prime factorization of 425 and 442. After we will calculate the factors of 425 and 442 and find the biggest common factor number .

Step-1: Prime Factorization of 425

Prime factors of 425 are 5, 17. Prime factorization of 425 in exponential form is:

425 = 5² × 17¹

Step-2: Prime Factorization of 442

Prime factors of 442 are 2, 13, 17. Prime factorization of 442 in exponential form is:

442 = 2¹ × 13¹ × 17¹

Step-3: Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85

Step-4: Factors of 442

List of positive integer factors of 442 that divides 425 without a remainder.

1, 2, 13, 17, 26, 34, 221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 425 and 442. The biggest common factor number is the GCF number.
So the greatest common factor 425 and 442 is 17.

Also check out the Least Common Multiple of 425 and 442