What is the Greatest Common Factor of 28352 and 28364?

Greatest common factor (GCF) of 28352 and 28364 is 4.

GCF(28352,28364) = 4

We will now calculate the prime factors of 28352 and 28364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28352 and 28364.

How to find the GCF of 28352 and 28364?

We will first find the prime factorization of 28352 and 28364. After we will calculate the factors of 28352 and 28364 and find the biggest common factor number .

Step-1: Prime Factorization of 28352

Prime factors of 28352 are 2, 443. Prime factorization of 28352 in exponential form is:

28352 = 2⁶ × 443¹

Step-2: Prime Factorization of 28364

Prime factors of 28364 are 2, 7, 1013. Prime factorization of 28364 in exponential form is:

28364 = 2² × 7¹ × 1013¹

Step-3: Factors of 28352

List of positive integer factors of 28352 that divides 28352 without a remainder.

1, 2, 4, 8, 16, 32, 64, 443, 886, 1772, 3544, 7088, 14176

Step-4: Factors of 28364

List of positive integer factors of 28364 that divides 28352 without a remainder.

1, 2, 4, 7, 14, 28, 1013, 2026, 4052, 7091, 14182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28352 and 28364. The biggest common factor number is the GCF number.
So the greatest common factor 28352 and 28364 is 4.

Also check out the Least Common Multiple of 28352 and 28364