What is the Greatest Common Factor of 21038 and 21042?

Greatest common factor (GCF) of 21038 and 21042 is 2.

GCF(21038,21042) = 2

We will now calculate the prime factors of 21038 and 21042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21038 and 21042.

How to find the GCF of 21038 and 21042?

We will first find the prime factorization of 21038 and 21042. After we will calculate the factors of 21038 and 21042 and find the biggest common factor number .

Step-1: Prime Factorization of 21038

Prime factors of 21038 are 2, 67, 157. Prime factorization of 21038 in exponential form is:

21038 = 2¹ × 67¹ × 157¹

Step-2: 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-3: Factors of 21038

List of positive integer factors of 21038 that divides 21038 without a remainder.

1, 2, 67, 134, 157, 314, 10519

Step-4: Factors of 21042

List of positive integer factors of 21042 that divides 21038 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21038 and 21042. The biggest common factor number is the GCF number.
So the greatest common factor 21038 and 21042 is 2.

Also check out the Least Common Multiple of 21038 and 21042