What is the Greatest Common Factor of 63207 and 63222?

Greatest common factor (GCF) of 63207 and 63222 is 3.

GCF(63207,63222) = 3

We will now calculate the prime factors of 63207 and 63222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63207 and 63222.

How to find the GCF of 63207 and 63222?

We will first find the prime factorization of 63207 and 63222. After we will calculate the factors of 63207 and 63222 and find the biggest common factor number .

Step-1: Prime Factorization of 63207

Prime factors of 63207 are 3, 2341. Prime factorization of 63207 in exponential form is:

63207 = 3³ × 2341¹

Step-2: Prime Factorization of 63222

Prime factors of 63222 are 2, 3, 41, 257. Prime factorization of 63222 in exponential form is:

63222 = 2¹ × 3¹ × 41¹ × 257¹

Step-3: Factors of 63207

List of positive integer factors of 63207 that divides 63207 without a remainder.

1, 3, 9, 27, 2341, 7023, 21069

Step-4: Factors of 63222

List of positive integer factors of 63222 that divides 63207 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 257, 514, 771, 1542, 10537, 21074, 31611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63207 and 63222. The biggest common factor number is the GCF number.
So the greatest common factor 63207 and 63222 is 3.

Also check out the Least Common Multiple of 63207 and 63222