What is the Greatest Common Factor of 21802 and 21813?

Greatest common factor (GCF) of 21802 and 21813 is 11.

GCF(21802,21813) = 11

We will now calculate the prime factors of 21802 and 21813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21802 and 21813.

How to find the GCF of 21802 and 21813?

We will first find the prime factorization of 21802 and 21813. After we will calculate the factors of 21802 and 21813 and find the biggest common factor number .

Step-1: Prime Factorization of 21802

Prime factors of 21802 are 2, 11, 991. Prime factorization of 21802 in exponential form is:

21802 = 2¹ × 11¹ × 991¹

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 21802

List of positive integer factors of 21802 that divides 21802 without a remainder.

1, 2, 11, 22, 991, 1982, 10901

Step-4: Factors of 21813

List of positive integer factors of 21813 that divides 21802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21802 and 21813. The biggest common factor number is the GCF number.
So the greatest common factor 21802 and 21813 is 11.

Also check out the Least Common Multiple of 21802 and 21813