What is the Greatest Common Factor of 90564 and 90573?

Greatest common factor (GCF) of 90564 and 90573 is 3.

GCF(90564,90573) = 3

We will now calculate the prime factors of 90564 and 90573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90564 and 90573.

How to find the GCF of 90564 and 90573?

We will first find the prime factorization of 90564 and 90573. After we will calculate the factors of 90564 and 90573 and find the biggest common factor number .

Step-1: Prime Factorization of 90564

Prime factors of 90564 are 2, 3, 7547. Prime factorization of 90564 in exponential form is:

90564 = 2² × 3¹ × 7547¹

Step-2: 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-3: Factors of 90564

List of positive integer factors of 90564 that divides 90564 without a remainder.

1, 2, 3, 4, 6, 12, 7547, 15094, 22641, 30188, 45282

Step-4: Factors of 90573

List of positive integer factors of 90573 that divides 90564 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90564 and 90573. The biggest common factor number is the GCF number.
So the greatest common factor 90564 and 90573 is 3.

Also check out the Least Common Multiple of 90564 and 90573