What is the Greatest Common Factor of 22827 and 22834?

Greatest common factor (GCF) of 22827 and 22834 is 7.

GCF(22827,22834) = 7

We will now calculate the prime factors of 22827 and 22834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22827 and 22834.

How to find the GCF of 22827 and 22834?

We will first find the prime factorization of 22827 and 22834. After we will calculate the factors of 22827 and 22834 and find the biggest common factor number .

Step-1: Prime Factorization of 22827

Prime factors of 22827 are 3, 7, 1087. Prime factorization of 22827 in exponential form is:

22827 = 3¹ × 7¹ × 1087¹

Step-2: Prime Factorization of 22834

Prime factors of 22834 are 2, 7, 233. Prime factorization of 22834 in exponential form is:

22834 = 2¹ × 7² × 233¹

Step-3: Factors of 22827

List of positive integer factors of 22827 that divides 22827 without a remainder.

1, 3, 7, 21, 1087, 3261, 7609

Step-4: Factors of 22834

List of positive integer factors of 22834 that divides 22827 without a remainder.

1, 2, 7, 14, 49, 98, 233, 466, 1631, 3262, 11417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22827 and 22834. The biggest common factor number is the GCF number.
So the greatest common factor 22827 and 22834 is 7.

Also check out the Least Common Multiple of 22827 and 22834