What is the Greatest Common Factor of 93003 and 93021?

Greatest common factor (GCF) of 93003 and 93021 is 3.

GCF(93003,93021) = 3

We will now calculate the prime factors of 93003 and 93021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93003 and 93021.

How to find the GCF of 93003 and 93021?

We will first find the prime factorization of 93003 and 93021. After we will calculate the factors of 93003 and 93021 and find the biggest common factor number .

Step-1: Prime Factorization of 93003

Prime factors of 93003 are 3, 29, 1069. Prime factorization of 93003 in exponential form is:

93003 = 3¹ × 29¹ × 1069¹

Step-2: Prime Factorization of 93021

Prime factors of 93021 are 3, 101, 307. Prime factorization of 93021 in exponential form is:

93021 = 3¹ × 101¹ × 307¹

Step-3: Factors of 93003

List of positive integer factors of 93003 that divides 93003 without a remainder.

1, 3, 29, 87, 1069, 3207, 31001

Step-4: Factors of 93021

List of positive integer factors of 93021 that divides 93003 without a remainder.

1, 3, 101, 303, 307, 921, 31007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93003 and 93021. The biggest common factor number is the GCF number.
So the greatest common factor 93003 and 93021 is 3.

Also check out the Least Common Multiple of 93003 and 93021