What is the Greatest Common Factor of 22365 and 22371?

Greatest common factor (GCF) of 22365 and 22371 is 3.

GCF(22365,22371) = 3

We will now calculate the prime factors of 22365 and 22371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22365 and 22371.

How to find the GCF of 22365 and 22371?

We will first find the prime factorization of 22365 and 22371. After we will calculate the factors of 22365 and 22371 and find the biggest common factor number .

Step-1: Prime Factorization of 22365

Prime factors of 22365 are 3, 5, 7, 71. Prime factorization of 22365 in exponential form is:

22365 = 3² × 5¹ × 7¹ × 71¹

Step-2: Prime Factorization of 22371

Prime factors of 22371 are 3, 7457. Prime factorization of 22371 in exponential form is:

22371 = 3¹ × 7457¹

Step-3: Factors of 22365

List of positive integer factors of 22365 that divides 22365 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 71, 105, 213, 315, 355, 497, 639, 1065, 1491, 2485, 3195, 4473, 7455

Step-4: Factors of 22371

List of positive integer factors of 22371 that divides 22365 without a remainder.

1, 3, 7457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22365 and 22371. The biggest common factor number is the GCF number.
So the greatest common factor 22365 and 22371 is 3.

Also check out the Least Common Multiple of 22365 and 22371