What is the Greatest Common Factor of 90549 and 90567?

Greatest common factor (GCF) of 90549 and 90567 is 9.

GCF(90549,90567) = 9

We will now calculate the prime factors of 90549 and 90567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90549 and 90567.

How to find the GCF of 90549 and 90567?

We will first find the prime factorization of 90549 and 90567. After we will calculate the factors of 90549 and 90567 and find the biggest common factor number .

Step-1: Prime Factorization of 90549

Prime factors of 90549 are 3, 10061. Prime factorization of 90549 in exponential form is:

90549 = 3² × 10061¹

Step-2: Prime Factorization of 90567

Prime factors of 90567 are 3, 29, 347. Prime factorization of 90567 in exponential form is:

90567 = 3² × 29¹ × 347¹

Step-3: Factors of 90549

List of positive integer factors of 90549 that divides 90549 without a remainder.

1, 3, 9, 10061, 30183

Step-4: Factors of 90567

List of positive integer factors of 90567 that divides 90549 without a remainder.

1, 3, 9, 29, 87, 261, 347, 1041, 3123, 10063, 30189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90549 and 90567. The biggest common factor number is the GCF number.
So the greatest common factor 90549 and 90567 is 9.

Also check out the Least Common Multiple of 90549 and 90567