What is the Greatest Common Factor of 42207 and 42222?

Greatest common factor (GCF) of 42207 and 42222 is 3.

GCF(42207,42222) = 3

We will now calculate the prime factors of 42207 and 42222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42207 and 42222.

How to find the GCF of 42207 and 42222?

We will first find the prime factorization of 42207 and 42222. After we will calculate the factors of 42207 and 42222 and find the biggest common factor number .

Step-1: Prime Factorization of 42207

Prime factors of 42207 are 3, 11, 1279. Prime factorization of 42207 in exponential form is:

42207 = 3¹ × 11¹ × 1279¹

Step-2: Prime Factorization of 42222

Prime factors of 42222 are 2, 3, 31, 227. Prime factorization of 42222 in exponential form is:

42222 = 2¹ × 3¹ × 31¹ × 227¹

Step-3: Factors of 42207

List of positive integer factors of 42207 that divides 42207 without a remainder.

1, 3, 11, 33, 1279, 3837, 14069

Step-4: Factors of 42222

List of positive integer factors of 42222 that divides 42207 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 227, 454, 681, 1362, 7037, 14074, 21111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42207 and 42222. The biggest common factor number is the GCF number.
So the greatest common factor 42207 and 42222 is 3.

Also check out the Least Common Multiple of 42207 and 42222