What is the Greatest Common Factor of 22446 and 22458?

Greatest common factor (GCF) of 22446 and 22458 is 6.

GCF(22446,22458) = 6

We will now calculate the prime factors of 22446 and 22458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22446 and 22458.

How to find the GCF of 22446 and 22458?

We will first find the prime factorization of 22446 and 22458. After we will calculate the factors of 22446 and 22458 and find the biggest common factor number .

Step-1: Prime Factorization of 22446

Prime factors of 22446 are 2, 3, 29, 43. Prime factorization of 22446 in exponential form is:

22446 = 2¹ × 3² × 29¹ × 43¹

Step-2: Prime Factorization of 22458

Prime factors of 22458 are 2, 3, 19, 197. Prime factorization of 22458 in exponential form is:

22458 = 2¹ × 3¹ × 19¹ × 197¹

Step-3: Factors of 22446

List of positive integer factors of 22446 that divides 22446 without a remainder.

1, 2, 3, 6, 9, 18, 29, 43, 58, 86, 87, 129, 174, 258, 261, 387, 522, 774, 1247, 2494, 3741, 7482, 11223

Step-4: Factors of 22458

List of positive integer factors of 22458 that divides 22446 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 197, 394, 591, 1182, 3743, 7486, 11229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22446 and 22458. The biggest common factor number is the GCF number.
So the greatest common factor 22446 and 22458 is 6.

Also check out the Least Common Multiple of 22446 and 22458