What is the Greatest Common Factor of 21065 and 21085?

Greatest common factor (GCF) of 21065 and 21085 is 5.

GCF(21065,21085) = 5

We will now calculate the prime factors of 21065 and 21085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21065 and 21085.

How to find the GCF of 21065 and 21085?

We will first find the prime factorization of 21065 and 21085. After we will calculate the factors of 21065 and 21085 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 21085

Prime factors of 21085 are 5, 4217. Prime factorization of 21085 in exponential form is:

21085 = 5¹ × 4217¹

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 21085

List of positive integer factors of 21085 that divides 21065 without a remainder.

1, 5, 4217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21065 and 21085. The biggest common factor number is the GCF number.
So the greatest common factor 21065 and 21085 is 5.

Also check out the Least Common Multiple of 21065 and 21085