What is the Greatest Common Factor of 21798 and 21813?

Greatest common factor (GCF) of 21798 and 21813 is 3.

GCF(21798,21813) = 3

We will now calculate the prime factors of 21798 and 21813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21798 and 21813.

How to find the GCF of 21798 and 21813?

We will first find the prime factorization of 21798 and 21813. After we will calculate the factors of 21798 and 21813 and find the biggest common factor number .

Step-1: Prime Factorization of 21798

Prime factors of 21798 are 2, 3, 7, 173. Prime factorization of 21798 in exponential form is:

21798 = 2¹ × 3² × 7¹ × 173¹

Step-2: Prime Factorization of 21813

Prime factors of 21813 are 3, 11, 661. Prime factorization of 21813 in exponential form is:

21813 = 3¹ × 11¹ × 661¹

Step-3: Factors of 21798

List of positive integer factors of 21798 that divides 21798 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 173, 346, 519, 1038, 1211, 1557, 2422, 3114, 3633, 7266, 10899

Step-4: Factors of 21813

List of positive integer factors of 21813 that divides 21798 without a remainder.

1, 3, 11, 33, 661, 1983, 7271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21798 and 21813. The biggest common factor number is the GCF number.
So the greatest common factor 21798 and 21813 is 3.

Also check out the Least Common Multiple of 21798 and 21813