What is the Greatest Common Factor of 45222 and 45228?

Greatest common factor (GCF) of 45222 and 45228 is 6.

GCF(45222,45228) = 6

We will now calculate the prime factors of 45222 and 45228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45222 and 45228.

How to find the GCF of 45222 and 45228?

We will first find the prime factorization of 45222 and 45228. After we will calculate the factors of 45222 and 45228 and find the biggest common factor number .

Step-1: Prime Factorization of 45222

Prime factors of 45222 are 2, 3, 7537. Prime factorization of 45222 in exponential form is:

45222 = 2¹ × 3¹ × 7537¹

Step-2: Prime Factorization of 45228

Prime factors of 45228 are 2, 3, 3769. Prime factorization of 45228 in exponential form is:

45228 = 2² × 3¹ × 3769¹

Step-3: Factors of 45222

List of positive integer factors of 45222 that divides 45222 without a remainder.

1, 2, 3, 6, 7537, 15074, 22611

Step-4: Factors of 45228

List of positive integer factors of 45228 that divides 45222 without a remainder.

1, 2, 3, 4, 6, 12, 3769, 7538, 11307, 15076, 22614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45222 and 45228. The biggest common factor number is the GCF number.
So the greatest common factor 45222 and 45228 is 6.

Also check out the Least Common Multiple of 45222 and 45228