What is the Greatest Common Factor of 90573 and 90580?

Greatest common factor (GCF) of 90573 and 90580 is 7.

GCF(90573,90580) = 7

We will now calculate the prime factors of 90573 and 90580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90573 and 90580.

How to find the GCF of 90573 and 90580?

We will first find the prime factorization of 90573 and 90580. After we will calculate the factors of 90573 and 90580 and find the biggest common factor number .

Step-1: Prime Factorization of 90573

Prime factors of 90573 are 3, 7, 19, 227. Prime factorization of 90573 in exponential form is:

90573 = 3¹ × 7¹ × 19¹ × 227¹

Step-2: Prime Factorization of 90580

Prime factors of 90580 are 2, 5, 7, 647. Prime factorization of 90580 in exponential form is:

90580 = 2² × 5¹ × 7¹ × 647¹

Step-3: Factors of 90573

List of positive integer factors of 90573 that divides 90573 without a remainder.

1, 3, 7, 19, 21, 57, 133, 227, 399, 681, 1589, 4313, 4767, 12939, 30191

Step-4: Factors of 90580

List of positive integer factors of 90580 that divides 90573 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 647, 1294, 2588, 3235, 4529, 6470, 9058, 12940, 18116, 22645, 45290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90573 and 90580. The biggest common factor number is the GCF number.
So the greatest common factor 90573 and 90580 is 7.

Also check out the Least Common Multiple of 90573 and 90580