What is the Greatest Common Factor of 22785 and 22799?

Greatest common factor (GCF) of 22785 and 22799 is 7.

GCF(22785,22799) = 7

We will now calculate the prime factors of 22785 and 22799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22785 and 22799.

How to find the GCF of 22785 and 22799?

We will first find the prime factorization of 22785 and 22799. After we will calculate the factors of 22785 and 22799 and find the biggest common factor number .

Step-1: Prime Factorization of 22785

Prime factors of 22785 are 3, 5, 7, 31. Prime factorization of 22785 in exponential form is:

22785 = 3¹ × 5¹ × 7² × 31¹

Step-2: Prime Factorization of 22799

Prime factors of 22799 are 7, 3257. Prime factorization of 22799 in exponential form is:

22799 = 7¹ × 3257¹

Step-3: Factors of 22785

List of positive integer factors of 22785 that divides 22785 without a remainder.

1, 3, 5, 7, 15, 21, 31, 35, 49, 93, 105, 147, 155, 217, 245, 465, 651, 735, 1085, 1519, 3255, 4557, 7595

Step-4: Factors of 22799

List of positive integer factors of 22799 that divides 22785 without a remainder.

1, 7, 3257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22785 and 22799. The biggest common factor number is the GCF number.
So the greatest common factor 22785 and 22799 is 7.

Also check out the Least Common Multiple of 22785 and 22799