What is the Greatest Common Factor of 21065 and 21069?

Greatest common factor (GCF) of 21065 and 21069 is 1.

GCF(21065,21069) = 1

We will now calculate the prime factors of 21065 and 21069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21065 and 21069.

How to find the GCF of 21065 and 21069?

We will first find the prime factorization of 21065 and 21069. After we will calculate the factors of 21065 and 21069 and find the biggest common factor number .

Step-1: Prime Factorization of 21065

Prime factors of 21065 are 5, 11, 383. Prime factorization of 21065 in exponential form is:

21065 = 5¹ × 11¹ × 383¹

Step-2: Prime Factorization of 21069

Prime factors of 21069 are 3, 2341. Prime factorization of 21069 in exponential form is:

21069 = 3² × 2341¹

Step-3: Factors of 21065

List of positive integer factors of 21065 that divides 21065 without a remainder.

1, 5, 11, 55, 383, 1915, 4213

Step-4: Factors of 21069

List of positive integer factors of 21069 that divides 21065 without a remainder.

1, 3, 9, 2341, 7023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21065 and 21069. The biggest common factor number is the GCF number.
So the greatest common factor 21065 and 21069 is 1.

Also check out the Least Common Multiple of 21065 and 21069