What is the Greatest Common Factor of 21798 and 21807?

Greatest common factor (GCF) of 21798 and 21807 is 9.

GCF(21798,21807) = 9

We will now calculate the prime factors of 21798 and 21807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21798 and 21807.

How to find the GCF of 21798 and 21807?

We will first find the prime factorization of 21798 and 21807. After we will calculate the factors of 21798 and 21807 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 21807

Prime factors of 21807 are 3, 2423. Prime factorization of 21807 in exponential form is:

21807 = 3² × 2423¹

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 21807

List of positive integer factors of 21807 that divides 21798 without a remainder.

1, 3, 9, 2423, 7269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21798 and 21807. The biggest common factor number is the GCF number.
So the greatest common factor 21798 and 21807 is 9.

Also check out the Least Common Multiple of 21798 and 21807