What is the Greatest Common Factor of 90546 and 90564?

Greatest common factor (GCF) of 90546 and 90564 is 6.

GCF(90546,90564) = 6

We will now calculate the prime factors of 90546 and 90564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90546 and 90564.

How to find the GCF of 90546 and 90564?

We will first find the prime factorization of 90546 and 90564. After we will calculate the factors of 90546 and 90564 and find the biggest common factor number .

Step-1: Prime Factorization of 90546

Prime factors of 90546 are 2, 3, 15091. Prime factorization of 90546 in exponential form is:

90546 = 2¹ × 3¹ × 15091¹

Step-2: 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-3: Factors of 90546

List of positive integer factors of 90546 that divides 90546 without a remainder.

1, 2, 3, 6, 15091, 30182, 45273

Step-4: Factors of 90564

List of positive integer factors of 90564 that divides 90546 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90546 and 90564. The biggest common factor number is the GCF number.
So the greatest common factor 90546 and 90564 is 6.

Also check out the Least Common Multiple of 90546 and 90564