What is the Greatest Common Factor of 90147 and 90159?

Greatest common factor (GCF) of 90147 and 90159 is 3.

GCF(90147,90159) = 3

We will now calculate the prime factors of 90147 and 90159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90147 and 90159.

How to find the GCF of 90147 and 90159?

We will first find the prime factorization of 90147 and 90159. After we will calculate the factors of 90147 and 90159 and find the biggest common factor number .

Step-1: Prime Factorization of 90147

Prime factors of 90147 are 3, 151, 199. Prime factorization of 90147 in exponential form is:

90147 = 3¹ × 151¹ × 199¹

Step-2: Prime Factorization of 90159

Prime factors of 90159 are 3, 41, 733. Prime factorization of 90159 in exponential form is:

90159 = 3¹ × 41¹ × 733¹

Step-3: Factors of 90147

List of positive integer factors of 90147 that divides 90147 without a remainder.

1, 3, 151, 199, 453, 597, 30049

Step-4: Factors of 90159

List of positive integer factors of 90159 that divides 90147 without a remainder.

1, 3, 41, 123, 733, 2199, 30053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90147 and 90159. The biggest common factor number is the GCF number.
So the greatest common factor 90147 and 90159 is 3.

Also check out the Least Common Multiple of 90147 and 90159