What is the Greatest Common Factor of 21784 and 21798?

Greatest common factor (GCF) of 21784 and 21798 is 14.

GCF(21784,21798) = 14

We will now calculate the prime factors of 21784 and 21798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21784 and 21798.

How to find the GCF of 21784 and 21798?

We will first find the prime factorization of 21784 and 21798. After we will calculate the factors of 21784 and 21798 and find the biggest common factor number .

Step-1: Prime Factorization of 21784

Prime factors of 21784 are 2, 7, 389. Prime factorization of 21784 in exponential form is:

21784 = 2³ × 7¹ × 389¹

Step-2: 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-3: Factors of 21784

List of positive integer factors of 21784 that divides 21784 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 389, 778, 1556, 2723, 3112, 5446, 10892

Step-4: Factors of 21798

List of positive integer factors of 21798 that divides 21784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21784 and 21798. The biggest common factor number is the GCF number.
So the greatest common factor 21784 and 21798 is 14.

Also check out the Least Common Multiple of 21784 and 21798