What is the Greatest Common Factor of 21038 and 21052?

Greatest common factor (GCF) of 21038 and 21052 is 2.

GCF(21038,21052) = 2

We will now calculate the prime factors of 21038 and 21052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21038 and 21052.

How to find the GCF of 21038 and 21052?

We will first find the prime factorization of 21038 and 21052. After we will calculate the factors of 21038 and 21052 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 21052

Prime factors of 21052 are 2, 19, 277. Prime factorization of 21052 in exponential form is:

21052 = 2² × 19¹ × 277¹

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 21052

List of positive integer factors of 21052 that divides 21038 without a remainder.

1, 2, 4, 19, 38, 76, 277, 554, 1108, 5263, 10526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21038 and 21052. The biggest common factor number is the GCF number.
So the greatest common factor 21038 and 21052 is 2.

Also check out the Least Common Multiple of 21038 and 21052