What is the Greatest Common Factor of 50458 and 50462?

Greatest common factor (GCF) of 50458 and 50462 is 2.

GCF(50458,50462) = 2

We will now calculate the prime factors of 50458 and 50462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50458 and 50462.

How to find the GCF of 50458 and 50462?

We will first find the prime factorization of 50458 and 50462. After we will calculate the factors of 50458 and 50462 and find the biggest common factor number .

Step-1: Prime Factorization of 50458

Prime factors of 50458 are 2, 25229. Prime factorization of 50458 in exponential form is:

50458 = 2¹ × 25229¹

Step-2: Prime Factorization of 50462

Prime factors of 50462 are 2, 23, 1097. Prime factorization of 50462 in exponential form is:

50462 = 2¹ × 23¹ × 1097¹

Step-3: Factors of 50458

List of positive integer factors of 50458 that divides 50458 without a remainder.

1, 2, 25229

Step-4: Factors of 50462

List of positive integer factors of 50462 that divides 50458 without a remainder.

1, 2, 23, 46, 1097, 2194, 25231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50458 and 50462. The biggest common factor number is the GCF number.
So the greatest common factor 50458 and 50462 is 2.

Also check out the Least Common Multiple of 50458 and 50462