What is the Greatest Common Factor of 22356 and 22376?

Greatest common factor (GCF) of 22356 and 22376 is 4.

GCF(22356,22376) = 4

We will now calculate the prime factors of 22356 and 22376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22356 and 22376.

How to find the GCF of 22356 and 22376?

We will first find the prime factorization of 22356 and 22376. After we will calculate the factors of 22356 and 22376 and find the biggest common factor number .

Step-1: Prime Factorization of 22356

Prime factors of 22356 are 2, 3, 23. Prime factorization of 22356 in exponential form is:

22356 = 2² × 3⁵ × 23¹

Step-2: Prime Factorization of 22376

Prime factors of 22376 are 2, 2797. Prime factorization of 22376 in exponential form is:

22376 = 2³ × 2797¹

Step-3: Factors of 22356

List of positive integer factors of 22356 that divides 22356 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 243, 276, 324, 414, 486, 621, 828, 972, 1242, 1863, 2484, 3726, 5589, 7452, 11178

Step-4: Factors of 22376

List of positive integer factors of 22376 that divides 22356 without a remainder.

1, 2, 4, 8, 2797, 5594, 11188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22356 and 22376. The biggest common factor number is the GCF number.
So the greatest common factor 22356 and 22376 is 4.

Also check out the Least Common Multiple of 22356 and 22376