What is the Greatest Common Factor of 21049 and 21059?

Greatest common factor (GCF) of 21049 and 21059 is 1.

GCF(21049,21059) = 1

We will now calculate the prime factors of 21049 and 21059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21049 and 21059.

How to find the GCF of 21049 and 21059?

We will first find the prime factorization of 21049 and 21059. After we will calculate the factors of 21049 and 21059 and find the biggest common factor number .

Step-1: 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-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 21049

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

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

Step-4: Factors of 21059

List of positive integer factors of 21059 that divides 21049 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21049 and 21059. The biggest common factor number is the GCF number.
So the greatest common factor 21049 and 21059 is 1.

Also check out the Least Common Multiple of 21049 and 21059