What is the Greatest Common Factor of 54003 and 54021?

Greatest common factor (GCF) of 54003 and 54021 is 3.

GCF(54003,54021) = 3

We will now calculate the prime factors of 54003 and 54021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54003 and 54021.

How to find the GCF of 54003 and 54021?

We will first find the prime factorization of 54003 and 54021. After we will calculate the factors of 54003 and 54021 and find the biggest common factor number .

Step-1: Prime Factorization of 54003

Prime factors of 54003 are 3, 47, 383. Prime factorization of 54003 in exponential form is:

54003 = 3¹ × 47¹ × 383¹

Step-2: Prime Factorization of 54021

Prime factors of 54021 are 3, 11, 1637. Prime factorization of 54021 in exponential form is:

54021 = 3¹ × 11¹ × 1637¹

Step-3: Factors of 54003

List of positive integer factors of 54003 that divides 54003 without a remainder.

1, 3, 47, 141, 383, 1149, 18001

Step-4: Factors of 54021

List of positive integer factors of 54021 that divides 54003 without a remainder.

1, 3, 11, 33, 1637, 4911, 18007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54003 and 54021. The biggest common factor number is the GCF number.
So the greatest common factor 54003 and 54021 is 3.

Also check out the Least Common Multiple of 54003 and 54021