What is the Greatest Common Factor of 21065 and 21084?

Greatest common factor (GCF) of 21065 and 21084 is 1.

GCF(21065,21084) = 1

We will now calculate the prime factors of 21065 and 21084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21065 and 21084.

How to find the GCF of 21065 and 21084?

We will first find the prime factorization of 21065 and 21084. After we will calculate the factors of 21065 and 21084 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 21084

Prime factors of 21084 are 2, 3, 7, 251. Prime factorization of 21084 in exponential form is:

21084 = 2² × 3¹ × 7¹ × 251¹

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 21084

List of positive integer factors of 21084 that divides 21065 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 251, 502, 753, 1004, 1506, 1757, 3012, 3514, 5271, 7028, 10542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21065 and 21084. The biggest common factor number is the GCF number.
So the greatest common factor 21065 and 21084 is 1.

Also check out the Least Common Multiple of 21065 and 21084