What is the Greatest Common Factor of 21038 and 21057?

Greatest common factor (GCF) of 21038 and 21057 is 1.

GCF(21038,21057) = 1

We will now calculate the prime factors of 21038 and 21057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21038 and 21057.

How to find the GCF of 21038 and 21057?

We will first find the prime factorization of 21038 and 21057. After we will calculate the factors of 21038 and 21057 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 21057

Prime factors of 21057 are 3, 7019. Prime factorization of 21057 in exponential form is:

21057 = 3¹ × 7019¹

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 21057

List of positive integer factors of 21057 that divides 21038 without a remainder.

1, 3, 7019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21038 and 21057. The biggest common factor number is the GCF number.
So the greatest common factor 21038 and 21057 is 1.

Also check out the Least Common Multiple of 21038 and 21057