What is the Greatest Common Factor of 78222 and 78231?

Greatest common factor (GCF) of 78222 and 78231 is 3.

GCF(78222,78231) = 3

We will now calculate the prime factors of 78222 and 78231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78222 and 78231.

How to find the GCF of 78222 and 78231?

We will first find the prime factorization of 78222 and 78231. After we will calculate the factors of 78222 and 78231 and find the biggest common factor number .

Step-1: Prime Factorization of 78222

Prime factors of 78222 are 2, 3, 13037. Prime factorization of 78222 in exponential form is:

78222 = 2¹ × 3¹ × 13037¹

Step-2: Prime Factorization of 78231

Prime factors of 78231 are 3, 89, 293. Prime factorization of 78231 in exponential form is:

78231 = 3¹ × 89¹ × 293¹

Step-3: Factors of 78222

List of positive integer factors of 78222 that divides 78222 without a remainder.

1, 2, 3, 6, 13037, 26074, 39111

Step-4: Factors of 78231

List of positive integer factors of 78231 that divides 78222 without a remainder.

1, 3, 89, 267, 293, 879, 26077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78222 and 78231. The biggest common factor number is the GCF number.
So the greatest common factor 78222 and 78231 is 3.

Also check out the Least Common Multiple of 78222 and 78231