What is the Greatest Common Factor of 22467 and 22476?

Greatest common factor (GCF) of 22467 and 22476 is 3.

GCF(22467,22476) = 3

We will now calculate the prime factors of 22467 and 22476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22467 and 22476.

How to find the GCF of 22467 and 22476?

We will first find the prime factorization of 22467 and 22476. After we will calculate the factors of 22467 and 22476 and find the biggest common factor number .

Step-1: Prime Factorization of 22467

Prime factors of 22467 are 3, 7489. Prime factorization of 22467 in exponential form is:

22467 = 3¹ × 7489¹

Step-2: Prime Factorization of 22476

Prime factors of 22476 are 2, 3, 1873. Prime factorization of 22476 in exponential form is:

22476 = 2² × 3¹ × 1873¹

Step-3: Factors of 22467

List of positive integer factors of 22467 that divides 22467 without a remainder.

1, 3, 7489

Step-4: Factors of 22476

List of positive integer factors of 22476 that divides 22467 without a remainder.

1, 2, 3, 4, 6, 12, 1873, 3746, 5619, 7492, 11238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22467 and 22476. The biggest common factor number is the GCF number.
So the greatest common factor 22467 and 22476 is 3.

Also check out the Least Common Multiple of 22467 and 22476