What is the Greatest Common Factor of 21038 and 21049?

Greatest common factor (GCF) of 21038 and 21049 is 1.

GCF(21038,21049) = 1

We will now calculate the prime factors of 21038 and 21049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21038 and 21049.

How to find the GCF of 21038 and 21049?

We will first find the prime factorization of 21038 and 21049. After we will calculate the factors of 21038 and 21049 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 21049

Prime factors of 21049 are 7, 31, 97. Prime factorization of 21049 in exponential form is:

21049 = 7¹ × 31¹ × 97¹

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 21049

List of positive integer factors of 21049 that divides 21038 without a remainder.

1, 7, 31, 97, 217, 679, 3007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21038 and 21049. The biggest common factor number is the GCF number.
So the greatest common factor 21038 and 21049 is 1.

Also check out the Least Common Multiple of 21038 and 21049