What is the Greatest Common Factor of 94204 and 94222?

Greatest common factor (GCF) of 94204 and 94222 is 2.

GCF(94204,94222) = 2

We will now calculate the prime factors of 94204 and 94222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94204 and 94222.

How to find the GCF of 94204 and 94222?

We will first find the prime factorization of 94204 and 94222. After we will calculate the factors of 94204 and 94222 and find the biggest common factor number .

Step-1: Prime Factorization of 94204

Prime factors of 94204 are 2, 11, 2141. Prime factorization of 94204 in exponential form is:

94204 = 2² × 11¹ × 2141¹

Step-2: Prime Factorization of 94222

Prime factors of 94222 are 2, 47111. Prime factorization of 94222 in exponential form is:

94222 = 2¹ × 47111¹

Step-3: Factors of 94204

List of positive integer factors of 94204 that divides 94204 without a remainder.

1, 2, 4, 11, 22, 44, 2141, 4282, 8564, 23551, 47102

Step-4: Factors of 94222

List of positive integer factors of 94222 that divides 94204 without a remainder.

1, 2, 47111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94204 and 94222. The biggest common factor number is the GCF number.
So the greatest common factor 94204 and 94222 is 2.

Also check out the Least Common Multiple of 94204 and 94222