What is the Greatest Common Factor of 46222 and 46233?

Greatest common factor (GCF) of 46222 and 46233 is 11.

GCF(46222,46233) = 11

We will now calculate the prime factors of 46222 and 46233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46222 and 46233.

How to find the GCF of 46222 and 46233?

We will first find the prime factorization of 46222 and 46233. After we will calculate the factors of 46222 and 46233 and find the biggest common factor number .

Step-1: Prime Factorization of 46222

Prime factors of 46222 are 2, 11, 191. Prime factorization of 46222 in exponential form is:

46222 = 2¹ × 11² × 191¹

Step-2: Prime Factorization of 46233

Prime factors of 46233 are 3, 11, 467. Prime factorization of 46233 in exponential form is:

46233 = 3² × 11¹ × 467¹

Step-3: Factors of 46222

List of positive integer factors of 46222 that divides 46222 without a remainder.

1, 2, 11, 22, 121, 191, 242, 382, 2101, 4202, 23111

Step-4: Factors of 46233

List of positive integer factors of 46233 that divides 46222 without a remainder.

1, 3, 9, 11, 33, 99, 467, 1401, 4203, 5137, 15411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46222 and 46233. The biggest common factor number is the GCF number.
So the greatest common factor 46222 and 46233 is 11.

Also check out the Least Common Multiple of 46222 and 46233