What is the Greatest Common Factor of 22902 and 22911?

Greatest common factor (GCF) of 22902 and 22911 is 3.

GCF(22902,22911) = 3

We will now calculate the prime factors of 22902 and 22911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22902 and 22911.

How to find the GCF of 22902 and 22911?

We will first find the prime factorization of 22902 and 22911. After we will calculate the factors of 22902 and 22911 and find the biggest common factor number .

Step-1: Prime Factorization of 22902

Prime factors of 22902 are 2, 3, 11, 347. Prime factorization of 22902 in exponential form is:

22902 = 2¹ × 3¹ × 11¹ × 347¹

Step-2: Prime Factorization of 22911

Prime factors of 22911 are 3, 7, 1091. Prime factorization of 22911 in exponential form is:

22911 = 3¹ × 7¹ × 1091¹

Step-3: Factors of 22902

List of positive integer factors of 22902 that divides 22902 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 347, 694, 1041, 2082, 3817, 7634, 11451

Step-4: Factors of 22911

List of positive integer factors of 22911 that divides 22902 without a remainder.

1, 3, 7, 21, 1091, 3273, 7637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22902 and 22911. The biggest common factor number is the GCF number.
So the greatest common factor 22902 and 22911 is 3.

Also check out the Least Common Multiple of 22902 and 22911