What is the Greatest Common Factor of 90458 and 90462?

Greatest common factor (GCF) of 90458 and 90462 is 2.

GCF(90458,90462) = 2

We will now calculate the prime factors of 90458 and 90462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90458 and 90462.

How to find the GCF of 90458 and 90462?

We will first find the prime factorization of 90458 and 90462. After we will calculate the factors of 90458 and 90462 and find the biggest common factor number .

Step-1: Prime Factorization of 90458

Prime factors of 90458 are 2, 31, 1459. Prime factorization of 90458 in exponential form is:

90458 = 2¹ × 31¹ × 1459¹

Step-2: Prime Factorization of 90462

Prime factors of 90462 are 2, 3, 15077. Prime factorization of 90462 in exponential form is:

90462 = 2¹ × 3¹ × 15077¹

Step-3: Factors of 90458

List of positive integer factors of 90458 that divides 90458 without a remainder.

1, 2, 31, 62, 1459, 2918, 45229

Step-4: Factors of 90462

List of positive integer factors of 90462 that divides 90458 without a remainder.

1, 2, 3, 6, 15077, 30154, 45231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90458 and 90462. The biggest common factor number is the GCF number.
So the greatest common factor 90458 and 90462 is 2.

Also check out the Least Common Multiple of 90458 and 90462