What is the Greatest Common Factor of 90588 and 90594?

Greatest common factor (GCF) of 90588 and 90594 is 6.

GCF(90588,90594) = 6

We will now calculate the prime factors of 90588 and 90594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90588 and 90594.

How to find the GCF of 90588 and 90594?

We will first find the prime factorization of 90588 and 90594. After we will calculate the factors of 90588 and 90594 and find the biggest common factor number .

Step-1: Prime Factorization of 90588

Prime factors of 90588 are 2, 3, 7549. Prime factorization of 90588 in exponential form is:

90588 = 2² × 3¹ × 7549¹

Step-2: 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-3: Factors of 90588

List of positive integer factors of 90588 that divides 90588 without a remainder.

1, 2, 3, 4, 6, 12, 7549, 15098, 22647, 30196, 45294

Step-4: Factors of 90594

List of positive integer factors of 90594 that divides 90588 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90588 and 90594. The biggest common factor number is the GCF number.
So the greatest common factor 90588 and 90594 is 6.

Also check out the Least Common Multiple of 90588 and 90594