What is the Greatest Common Factor of 22473 and 22484?

Greatest common factor (GCF) of 22473 and 22484 is 11.

GCF(22473,22484) = 11

We will now calculate the prime factors of 22473 and 22484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22473 and 22484.

How to find the GCF of 22473 and 22484?

We will first find the prime factorization of 22473 and 22484. After we will calculate the factors of 22473 and 22484 and find the biggest common factor number .

Step-1: Prime Factorization of 22473

Prime factors of 22473 are 3, 11, 227. Prime factorization of 22473 in exponential form is:

22473 = 3² × 11¹ × 227¹

Step-2: Prime Factorization of 22484

Prime factors of 22484 are 2, 7, 11, 73. Prime factorization of 22484 in exponential form is:

22484 = 2² × 7¹ × 11¹ × 73¹

Step-3: Factors of 22473

List of positive integer factors of 22473 that divides 22473 without a remainder.

1, 3, 9, 11, 33, 99, 227, 681, 2043, 2497, 7491

Step-4: Factors of 22484

List of positive integer factors of 22484 that divides 22473 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 73, 77, 146, 154, 292, 308, 511, 803, 1022, 1606, 2044, 3212, 5621, 11242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22473 and 22484. The biggest common factor number is the GCF number.
So the greatest common factor 22473 and 22484 is 11.

Also check out the Least Common Multiple of 22473 and 22484