What is the Greatest Common Factor of 21034 and 21041?

Greatest common factor (GCF) of 21034 and 21041 is 1.

GCF(21034,21041) = 1

We will now calculate the prime factors of 21034 and 21041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21034 and 21041.

How to find the GCF of 21034 and 21041?

We will first find the prime factorization of 21034 and 21041. After we will calculate the factors of 21034 and 21041 and find the biggest common factor number .

Step-1: Prime Factorization of 21034

Prime factors of 21034 are 2, 13, 809. Prime factorization of 21034 in exponential form is:

21034 = 2¹ × 13¹ × 809¹

Step-2: Prime Factorization of 21041

Prime factors of 21041 are 53, 397. Prime factorization of 21041 in exponential form is:

21041 = 53¹ × 397¹

Step-3: Factors of 21034

List of positive integer factors of 21034 that divides 21034 without a remainder.

1, 2, 13, 26, 809, 1618, 10517

Step-4: Factors of 21041

List of positive integer factors of 21041 that divides 21034 without a remainder.

1, 53, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21034 and 21041. The biggest common factor number is the GCF number.
So the greatest common factor 21034 and 21041 is 1.

Also check out the Least Common Multiple of 21034 and 21041