What is the Greatest Common Factor of 9051 and 9063?

Greatest common factor (GCF) of 9051 and 9063 is 3.

GCF(9051,9063) = 3

We will now calculate the prime factors of 9051 and 9063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9051 and 9063.

How to find the GCF of 9051 and 9063?

We will first find the prime factorization of 9051 and 9063. After we will calculate the factors of 9051 and 9063 and find the biggest common factor number .

Step-1: Prime Factorization of 9051

Prime factors of 9051 are 3, 7, 431. Prime factorization of 9051 in exponential form is:

9051 = 3¹ × 7¹ × 431¹

Step-2: Prime Factorization of 9063

Prime factors of 9063 are 3, 19, 53. Prime factorization of 9063 in exponential form is:

9063 = 3² × 19¹ × 53¹

Step-3: Factors of 9051

List of positive integer factors of 9051 that divides 9051 without a remainder.

1, 3, 7, 21, 431, 1293, 3017

Step-4: Factors of 9063

List of positive integer factors of 9063 that divides 9051 without a remainder.

1, 3, 9, 19, 53, 57, 159, 171, 477, 1007, 3021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9051 and 9063. The biggest common factor number is the GCF number.
So the greatest common factor 9051 and 9063 is 3.

Also check out the Least Common Multiple of 9051 and 9063