What is the Greatest Common Factor of 92450 and 92462?

Greatest common factor (GCF) of 92450 and 92462 is 2.

GCF(92450,92462) = 2

We will now calculate the prime factors of 92450 and 92462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92450 and 92462.

How to find the GCF of 92450 and 92462?

We will first find the prime factorization of 92450 and 92462. After we will calculate the factors of 92450 and 92462 and find the biggest common factor number .

Step-1: Prime Factorization of 92450

Prime factors of 92450 are 2, 5, 43. Prime factorization of 92450 in exponential form is:

92450 = 2¹ × 5² × 43²

Step-2: Prime Factorization of 92462

Prime factors of 92462 are 2, 83, 557. Prime factorization of 92462 in exponential form is:

92462 = 2¹ × 83¹ × 557¹

Step-3: Factors of 92450

List of positive integer factors of 92450 that divides 92450 without a remainder.

1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 1849, 2150, 3698, 9245, 18490, 46225

Step-4: Factors of 92462

List of positive integer factors of 92462 that divides 92450 without a remainder.

1, 2, 83, 166, 557, 1114, 46231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92450 and 92462. The biggest common factor number is the GCF number.
So the greatest common factor 92450 and 92462 is 2.

Also check out the Least Common Multiple of 92450 and 92462