What is the Greatest Common Factor of 66003 and 66021?

Greatest common factor (GCF) of 66003 and 66021 is 3.

GCF(66003,66021) = 3

We will now calculate the prime factors of 66003 and 66021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66003 and 66021.

How to find the GCF of 66003 and 66021?

We will first find the prime factorization of 66003 and 66021. After we will calculate the factors of 66003 and 66021 and find the biggest common factor number .

Step-1: Prime Factorization of 66003

Prime factors of 66003 are 3, 7, 449. Prime factorization of 66003 in exponential form is:

66003 = 3¹ × 7² × 449¹

Step-2: Prime Factorization of 66021

Prime factors of 66021 are 3, 59, 373. Prime factorization of 66021 in exponential form is:

66021 = 3¹ × 59¹ × 373¹

Step-3: Factors of 66003

List of positive integer factors of 66003 that divides 66003 without a remainder.

1, 3, 7, 21, 49, 147, 449, 1347, 3143, 9429, 22001

Step-4: Factors of 66021

List of positive integer factors of 66021 that divides 66003 without a remainder.

1, 3, 59, 177, 373, 1119, 22007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66003 and 66021. The biggest common factor number is the GCF number.
So the greatest common factor 66003 and 66021 is 3.

Also check out the Least Common Multiple of 66003 and 66021