What is the Greatest Common Factor of 21300 and 21319?

Greatest common factor (GCF) of 21300 and 21319 is 1.

GCF(21300,21319) = 1

We will now calculate the prime factors of 21300 and 21319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21300 and 21319.

How to find the GCF of 21300 and 21319?

We will first find the prime factorization of 21300 and 21319. After we will calculate the factors of 21300 and 21319 and find the biggest common factor number .

Step-1: Prime Factorization of 21300

Prime factors of 21300 are 2, 3, 5, 71. Prime factorization of 21300 in exponential form is:

21300 = 2² × 3¹ × 5² × 71¹

Step-2: Prime Factorization of 21319

Prime factors of 21319 are 21319. Prime factorization of 21319 in exponential form is:

21319 = 21319¹

Step-3: Factors of 21300

List of positive integer factors of 21300 that divides 21300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 71, 75, 100, 142, 150, 213, 284, 300, 355, 426, 710, 852, 1065, 1420, 1775, 2130, 3550, 4260, 5325, 7100, 10650

Step-4: Factors of 21319

List of positive integer factors of 21319 that divides 21300 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21300 and 21319. The biggest common factor number is the GCF number.
So the greatest common factor 21300 and 21319 is 1.

Also check out the Least Common Multiple of 21300 and 21319