What is the Greatest Common Factor of 94209 and 94221?

Greatest common factor (GCF) of 94209 and 94221 is 3.

GCF(94209,94221) = 3

We will now calculate the prime factors of 94209 and 94221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94209 and 94221.

How to find the GCF of 94209 and 94221?

We will first find the prime factorization of 94209 and 94221. After we will calculate the factors of 94209 and 94221 and find the biggest common factor number .

Step-1: Prime Factorization of 94209

Prime factors of 94209 are 3, 31, 1013. Prime factorization of 94209 in exponential form is:

94209 = 3¹ × 31¹ × 1013¹

Step-2: Prime Factorization of 94221

Prime factors of 94221 are 3, 19, 29. Prime factorization of 94221 in exponential form is:

94221 = 3² × 19² × 29¹

Step-3: Factors of 94209

List of positive integer factors of 94209 that divides 94209 without a remainder.

1, 3, 31, 93, 1013, 3039, 31403

Step-4: Factors of 94221

List of positive integer factors of 94221 that divides 94209 without a remainder.

1, 3, 9, 19, 29, 57, 87, 171, 261, 361, 551, 1083, 1653, 3249, 4959, 10469, 31407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94209 and 94221. The biggest common factor number is the GCF number.
So the greatest common factor 94209 and 94221 is 3.

Also check out the Least Common Multiple of 94209 and 94221