What is the Greatest Common Factor of 21004 and 21023?

Greatest common factor (GCF) of 21004 and 21023 is 1.

GCF(21004,21023) = 1

We will now calculate the prime factors of 21004 and 21023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21004 and 21023.

How to find the GCF of 21004 and 21023?

We will first find the prime factorization of 21004 and 21023. After we will calculate the factors of 21004 and 21023 and find the biggest common factor number .

Step-1: Prime Factorization of 21004

Prime factors of 21004 are 2, 59, 89. Prime factorization of 21004 in exponential form is:

21004 = 2² × 59¹ × 89¹

Step-2: Prime Factorization of 21023

Prime factors of 21023 are 21023. Prime factorization of 21023 in exponential form is:

21023 = 21023¹

Step-3: Factors of 21004

List of positive integer factors of 21004 that divides 21004 without a remainder.

1, 2, 4, 59, 89, 118, 178, 236, 356, 5251, 10502

Step-4: Factors of 21023

List of positive integer factors of 21023 that divides 21004 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21004 and 21023. The biggest common factor number is the GCF number.
So the greatest common factor 21004 and 21023 is 1.

Also check out the Least Common Multiple of 21004 and 21023