What is the Greatest Common Factor of 22867 and 22885?

Greatest common factor (GCF) of 22867 and 22885 is 1.

GCF(22867,22885) = 1

We will now calculate the prime factors of 22867 and 22885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22867 and 22885.

How to find the GCF of 22867 and 22885?

We will first find the prime factorization of 22867 and 22885. After we will calculate the factors of 22867 and 22885 and find the biggest common factor number .

Step-1: Prime Factorization of 22867

Prime factors of 22867 are 13, 1759. Prime factorization of 22867 in exponential form is:

22867 = 13¹ × 1759¹

Step-2: Prime Factorization of 22885

Prime factors of 22885 are 5, 23, 199. Prime factorization of 22885 in exponential form is:

22885 = 5¹ × 23¹ × 199¹

Step-3: Factors of 22867

List of positive integer factors of 22867 that divides 22867 without a remainder.

1, 13, 1759

Step-4: Factors of 22885

List of positive integer factors of 22885 that divides 22867 without a remainder.

1, 5, 23, 115, 199, 995, 4577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22867 and 22885. The biggest common factor number is the GCF number.
So the greatest common factor 22867 and 22885 is 1.

Also check out the Least Common Multiple of 22867 and 22885