What is the Greatest Common Factor of 90590 and 90610?

Greatest common factor (GCF) of 90590 and 90610 is 10.

GCF(90590,90610) = 10

We will now calculate the prime factors of 90590 and 90610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90590 and 90610.

How to find the GCF of 90590 and 90610?

We will first find the prime factorization of 90590 and 90610. After we will calculate the factors of 90590 and 90610 and find the biggest common factor number .

Step-1: Prime Factorization of 90590

Prime factors of 90590 are 2, 5, 9059. Prime factorization of 90590 in exponential form is:

90590 = 2¹ × 5¹ × 9059¹

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 90590

List of positive integer factors of 90590 that divides 90590 without a remainder.

1, 2, 5, 10, 9059, 18118, 45295

Step-4: Factors of 90610

List of positive integer factors of 90610 that divides 90590 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 90590 and 90610. The biggest common factor number is the GCF number.
So the greatest common factor 90590 and 90610 is 10.

Also check out the Least Common Multiple of 90590 and 90610