What is the Greatest Common Factor of 90567 and 90587?

Greatest common factor (GCF) of 90567 and 90587 is 1.

GCF(90567,90587) = 1

We will now calculate the prime factors of 90567 and 90587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90567 and 90587.

How to find the GCF of 90567 and 90587?

We will first find the prime factorization of 90567 and 90587. After we will calculate the factors of 90567 and 90587 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 90587

Prime factors of 90587 are 7, 12941. Prime factorization of 90587 in exponential form is:

90587 = 7¹ × 12941¹

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 90587

List of positive integer factors of 90587 that divides 90567 without a remainder.

1, 7, 12941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90567 and 90587. The biggest common factor number is the GCF number.
So the greatest common factor 90567 and 90587 is 1.

Also check out the Least Common Multiple of 90567 and 90587