What is the Greatest Common Factor of 67203 and 67222?

Greatest common factor (GCF) of 67203 and 67222 is 19.

GCF(67203,67222) = 19

We will now calculate the prime factors of 67203 and 67222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67203 and 67222.

How to find the GCF of 67203 and 67222?

We will first find the prime factorization of 67203 and 67222. After we will calculate the factors of 67203 and 67222 and find the biggest common factor number .

Step-1: Prime Factorization of 67203

Prime factors of 67203 are 3, 19, 131. Prime factorization of 67203 in exponential form is:

67203 = 3³ × 19¹ × 131¹

Step-2: Prime Factorization of 67222

Prime factors of 67222 are 2, 19, 29, 61. Prime factorization of 67222 in exponential form is:

67222 = 2¹ × 19¹ × 29¹ × 61¹

Step-3: Factors of 67203

List of positive integer factors of 67203 that divides 67203 without a remainder.

1, 3, 9, 19, 27, 57, 131, 171, 393, 513, 1179, 2489, 3537, 7467, 22401

Step-4: Factors of 67222

List of positive integer factors of 67222 that divides 67203 without a remainder.

1, 2, 19, 29, 38, 58, 61, 122, 551, 1102, 1159, 1769, 2318, 3538, 33611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67203 and 67222. The biggest common factor number is the GCF number.
So the greatest common factor 67203 and 67222 is 19.

Also check out the Least Common Multiple of 67203 and 67222