What is the Greatest Common Factor of 28380 and 28396?

Greatest common factor (GCF) of 28380 and 28396 is 4.

GCF(28380,28396) = 4

We will now calculate the prime factors of 28380 and 28396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28380 and 28396.

How to find the GCF of 28380 and 28396?

We will first find the prime factorization of 28380 and 28396. After we will calculate the factors of 28380 and 28396 and find the biggest common factor number .

Step-1: Prime Factorization of 28380

Prime factors of 28380 are 2, 3, 5, 11, 43. Prime factorization of 28380 in exponential form is:

28380 = 2² × 3¹ × 5¹ × 11¹ × 43¹

Step-2: Prime Factorization of 28396

Prime factors of 28396 are 2, 31, 229. Prime factorization of 28396 in exponential form is:

28396 = 2² × 31¹ × 229¹

Step-3: Factors of 28380

List of positive integer factors of 28380 that divides 28380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 43, 44, 55, 60, 66, 86, 110, 129, 132, 165, 172, 215, 220, 258, 330, 430, 473, 516, 645, 660, 860, 946, 1290, 1419, 1892, 2365, 2580, 2838, 4730, 5676, 7095, 9460, 14190

Step-4: Factors of 28396

List of positive integer factors of 28396 that divides 28380 without a remainder.

1, 2, 4, 31, 62, 124, 229, 458, 916, 7099, 14198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28380 and 28396. The biggest common factor number is the GCF number.
So the greatest common factor 28380 and 28396 is 4.

Also check out the Least Common Multiple of 28380 and 28396