What is the Greatest Common Factor of 22821 and 22830?

Greatest common factor (GCF) of 22821 and 22830 is 3.

GCF(22821,22830) = 3

We will now calculate the prime factors of 22821 and 22830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22821 and 22830.

How to find the GCF of 22821 and 22830?

We will first find the prime factorization of 22821 and 22830. After we will calculate the factors of 22821 and 22830 and find the biggest common factor number .

Step-1: Prime Factorization of 22821

Prime factors of 22821 are 3, 7607. Prime factorization of 22821 in exponential form is:

22821 = 3¹ × 7607¹

Step-2: Prime Factorization of 22830

Prime factors of 22830 are 2, 3, 5, 761. Prime factorization of 22830 in exponential form is:

22830 = 2¹ × 3¹ × 5¹ × 761¹

Step-3: Factors of 22821

List of positive integer factors of 22821 that divides 22821 without a remainder.

1, 3, 7607

Step-4: Factors of 22830

List of positive integer factors of 22830 that divides 22821 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 761, 1522, 2283, 3805, 4566, 7610, 11415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22821 and 22830. The biggest common factor number is the GCF number.
So the greatest common factor 22821 and 22830 is 3.

Also check out the Least Common Multiple of 22821 and 22830