What is the Greatest Common Factor of 90928 and 90946?

Greatest common factor (GCF) of 90928 and 90946 is 2.

GCF(90928,90946) = 2

We will now calculate the prime factors of 90928 and 90946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90928 and 90946.

How to find the GCF of 90928 and 90946?

We will first find the prime factorization of 90928 and 90946. After we will calculate the factors of 90928 and 90946 and find the biggest common factor number .

Step-1: Prime Factorization of 90928

Prime factors of 90928 are 2, 5683. Prime factorization of 90928 in exponential form is:

90928 = 2⁴ × 5683¹

Step-2: Prime Factorization of 90946

Prime factors of 90946 are 2, 37, 1229. Prime factorization of 90946 in exponential form is:

90946 = 2¹ × 37¹ × 1229¹

Step-3: Factors of 90928

List of positive integer factors of 90928 that divides 90928 without a remainder.

1, 2, 4, 8, 16, 5683, 11366, 22732, 45464

Step-4: Factors of 90946

List of positive integer factors of 90946 that divides 90928 without a remainder.

1, 2, 37, 74, 1229, 2458, 45473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90928 and 90946. The biggest common factor number is the GCF number.
So the greatest common factor 90928 and 90946 is 2.

Also check out the Least Common Multiple of 90928 and 90946