What is the Greatest Common Factor of 22466 and 22484?

Greatest common factor (GCF) of 22466 and 22484 is 2.

GCF(22466,22484) = 2

We will now calculate the prime factors of 22466 and 22484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22466 and 22484.

How to find the GCF of 22466 and 22484?

We will first find the prime factorization of 22466 and 22484. After we will calculate the factors of 22466 and 22484 and find the biggest common factor number .

Step-1: Prime Factorization of 22466

Prime factors of 22466 are 2, 47, 239. Prime factorization of 22466 in exponential form is:

22466 = 2¹ × 47¹ × 239¹

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 22466

List of positive integer factors of 22466 that divides 22466 without a remainder.

1, 2, 47, 94, 239, 478, 11233

Step-4: Factors of 22484

List of positive integer factors of 22484 that divides 22466 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 22466 and 22484. The biggest common factor number is the GCF number.
So the greatest common factor 22466 and 22484 is 2.

Also check out the Least Common Multiple of 22466 and 22484