What is the Greatest Common Factor of 90207 and 90222?

Greatest common factor (GCF) of 90207 and 90222 is 3.

GCF(90207,90222) = 3

We will now calculate the prime factors of 90207 and 90222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90207 and 90222.

How to find the GCF of 90207 and 90222?

We will first find the prime factorization of 90207 and 90222. After we will calculate the factors of 90207 and 90222 and find the biggest common factor number .

Step-1: Prime Factorization of 90207

Prime factors of 90207 are 3, 13, 257. Prime factorization of 90207 in exponential form is:

90207 = 3³ × 13¹ × 257¹

Step-2: Prime Factorization of 90222

Prime factors of 90222 are 2, 3, 11, 1367. Prime factorization of 90222 in exponential form is:

90222 = 2¹ × 3¹ × 11¹ × 1367¹

Step-3: Factors of 90207

List of positive integer factors of 90207 that divides 90207 without a remainder.

1, 3, 9, 13, 27, 39, 117, 257, 351, 771, 2313, 3341, 6939, 10023, 30069

Step-4: Factors of 90222

List of positive integer factors of 90222 that divides 90207 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1367, 2734, 4101, 8202, 15037, 30074, 45111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90207 and 90222. The biggest common factor number is the GCF number.
So the greatest common factor 90207 and 90222 is 3.

Also check out the Least Common Multiple of 90207 and 90222