What is the Greatest Common Factor of 90598 and 90610?

Greatest common factor (GCF) of 90598 and 90610 is 2.

GCF(90598,90610) = 2

We will now calculate the prime factors of 90598 and 90610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90598 and 90610.

How to find the GCF of 90598 and 90610?

We will first find the prime factorization of 90598 and 90610. After we will calculate the factors of 90598 and 90610 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90610

Prime factors of 90610 are 2, 5, 13, 17, 41. Prime factorization of 90610 in exponential form is:

90610 = 2¹ × 5¹ × 13¹ × 17¹ × 41¹

Step-3: Factors of 90598

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

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

Step-4: Factors of 90610

List of positive integer factors of 90610 that divides 90598 without a remainder.

1, 2, 5, 10, 13, 17, 26, 34, 41, 65, 82, 85, 130, 170, 205, 221, 410, 442, 533, 697, 1066, 1105, 1394, 2210, 2665, 3485, 5330, 6970, 9061, 18122, 45305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90598 and 90610. The biggest common factor number is the GCF number.
So the greatest common factor 90598 and 90610 is 2.

Also check out the Least Common Multiple of 90598 and 90610