What is the Greatest Common Factor of 90594 and 90598?

Greatest common factor (GCF) of 90594 and 90598 is 2.

GCF(90594,90598) = 2

We will now calculate the prime factors of 90594 and 90598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90594 and 90598.

How to find the GCF of 90594 and 90598?

We will first find the prime factorization of 90594 and 90598. After we will calculate the factors of 90594 and 90598 and find the biggest common factor number .

Step-1: Prime Factorization of 90594

Prime factors of 90594 are 2, 3, 7, 719. Prime factorization of 90594 in exponential form is:

90594 = 2¹ × 3² × 7¹ × 719¹

Step-2: Prime Factorization of 90598

Prime factors of 90598 are 2, 97, 467. Prime factorization of 90598 in exponential form is:

90598 = 2¹ × 97¹ × 467¹

Step-3: Factors of 90594

List of positive integer factors of 90594 that divides 90594 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 719, 1438, 2157, 4314, 5033, 6471, 10066, 12942, 15099, 30198, 45297

Step-4: Factors of 90598

List of positive integer factors of 90598 that divides 90594 without a remainder.

1, 2, 97, 194, 467, 934, 45299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90594 and 90598. The biggest common factor number is the GCF number.
So the greatest common factor 90594 and 90598 is 2.

Also check out the Least Common Multiple of 90594 and 90598