What is the Greatest Common Factor of 21046 and 21059?

Greatest common factor (GCF) of 21046 and 21059 is 1.

GCF(21046,21059) = 1

We will now calculate the prime factors of 21046 and 21059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21046 and 21059.

How to find the GCF of 21046 and 21059?

We will first find the prime factorization of 21046 and 21059. After we will calculate the factors of 21046 and 21059 and find the biggest common factor number .

Step-1: Prime Factorization of 21046

Prime factors of 21046 are 2, 17, 619. Prime factorization of 21046 in exponential form is:

21046 = 2¹ × 17¹ × 619¹

Step-2: Prime Factorization of 21059

Prime factors of 21059 are 21059. Prime factorization of 21059 in exponential form is:

21059 = 21059¹

Step-3: Factors of 21046

List of positive integer factors of 21046 that divides 21046 without a remainder.

1, 2, 17, 34, 619, 1238, 10523

Step-4: Factors of 21059

List of positive integer factors of 21059 that divides 21046 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21046 and 21059. The biggest common factor number is the GCF number.
So the greatest common factor 21046 and 21059 is 1.

Also check out the Least Common Multiple of 21046 and 21059