What is the Greatest Common Factor of 90567 and 90582?

Greatest common factor (GCF) of 90567 and 90582 is 3.

GCF(90567,90582) = 3

We will now calculate the prime factors of 90567 and 90582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90567 and 90582.

How to find the GCF of 90567 and 90582?

We will first find the prime factorization of 90567 and 90582. After we will calculate the factors of 90567 and 90582 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90582

Prime factors of 90582 are 2, 3, 31, 487. Prime factorization of 90582 in exponential form is:

90582 = 2¹ × 3¹ × 31¹ × 487¹

Step-3: Factors of 90567

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

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

Step-4: Factors of 90582

List of positive integer factors of 90582 that divides 90567 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 487, 974, 1461, 2922, 15097, 30194, 45291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90567 and 90582. The biggest common factor number is the GCF number.
So the greatest common factor 90567 and 90582 is 3.

Also check out the Least Common Multiple of 90567 and 90582