What is the Greatest Common Factor of 46211 and 46222?

Greatest common factor (GCF) of 46211 and 46222 is 11.

GCF(46211,46222) = 11

We will now calculate the prime factors of 46211 and 46222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46211 and 46222.

How to find the GCF of 46211 and 46222?

We will first find the prime factorization of 46211 and 46222. After we will calculate the factors of 46211 and 46222 and find the biggest common factor number .

Step-1: Prime Factorization of 46211

Prime factors of 46211 are 11, 4201. Prime factorization of 46211 in exponential form is:

46211 = 11¹ × 4201¹

Step-2: 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-3: Factors of 46211

List of positive integer factors of 46211 that divides 46211 without a remainder.

1, 11, 4201

Step-4: Factors of 46222

List of positive integer factors of 46222 that divides 46211 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46211 and 46222. The biggest common factor number is the GCF number.
So the greatest common factor 46211 and 46222 is 11.

Also check out the Least Common Multiple of 46211 and 46222