What is the Greatest Common Factor of 90574 and 90590?

Greatest common factor (GCF) of 90574 and 90590 is 2.

GCF(90574,90590) = 2

We will now calculate the prime factors of 90574 and 90590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90574 and 90590.

How to find the GCF of 90574 and 90590?

We will first find the prime factorization of 90574 and 90590. After we will calculate the factors of 90574 and 90590 and find the biggest common factor number .

Step-1: Prime Factorization of 90574

Prime factors of 90574 are 2, 11, 23, 179. Prime factorization of 90574 in exponential form is:

90574 = 2¹ × 11¹ × 23¹ × 179¹

Step-2: 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-3: Factors of 90574

List of positive integer factors of 90574 that divides 90574 without a remainder.

1, 2, 11, 22, 23, 46, 179, 253, 358, 506, 1969, 3938, 4117, 8234, 45287

Step-4: Factors of 90590

List of positive integer factors of 90590 that divides 90574 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90574 and 90590. The biggest common factor number is the GCF number.
So the greatest common factor 90574 and 90590 is 2.

Also check out the Least Common Multiple of 90574 and 90590