What is the Greatest Common Factor of 21042 and 21061?

Greatest common factor (GCF) of 21042 and 21061 is 1.

GCF(21042,21061) = 1

We will now calculate the prime factors of 21042 and 21061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21042 and 21061.

How to find the GCF of 21042 and 21061?

We will first find the prime factorization of 21042 and 21061. After we will calculate the factors of 21042 and 21061 and find the biggest common factor number .

Step-1: Prime Factorization of 21042

Prime factors of 21042 are 2, 3, 7, 167. Prime factorization of 21042 in exponential form is:

21042 = 2¹ × 3² × 7¹ × 167¹

Step-2: Prime Factorization of 21061

Prime factors of 21061 are 21061. Prime factorization of 21061 in exponential form is:

21061 = 21061¹

Step-3: Factors of 21042

List of positive integer factors of 21042 that divides 21042 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 167, 334, 501, 1002, 1169, 1503, 2338, 3006, 3507, 7014, 10521

Step-4: Factors of 21061

List of positive integer factors of 21061 that divides 21042 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21042 and 21061. The biggest common factor number is the GCF number.
So the greatest common factor 21042 and 21061 is 1.

Also check out the Least Common Multiple of 21042 and 21061