What is the Greatest Common Factor of 28348 and 28367?

Greatest common factor (GCF) of 28348 and 28367 is 19.

GCF(28348,28367) = 19

We will now calculate the prime factors of 28348 and 28367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28348 and 28367.

How to find the GCF of 28348 and 28367?

We will first find the prime factorization of 28348 and 28367. After we will calculate the factors of 28348 and 28367 and find the biggest common factor number .

Step-1: Prime Factorization of 28348

Prime factors of 28348 are 2, 19, 373. Prime factorization of 28348 in exponential form is:

28348 = 2² × 19¹ × 373¹

Step-2: Prime Factorization of 28367

Prime factors of 28367 are 19, 1493. Prime factorization of 28367 in exponential form is:

28367 = 19¹ × 1493¹

Step-3: Factors of 28348

List of positive integer factors of 28348 that divides 28348 without a remainder.

1, 2, 4, 19, 38, 76, 373, 746, 1492, 7087, 14174

Step-4: Factors of 28367

List of positive integer factors of 28367 that divides 28348 without a remainder.

1, 19, 1493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28348 and 28367. The biggest common factor number is the GCF number.
So the greatest common factor 28348 and 28367 is 19.

Also check out the Least Common Multiple of 28348 and 28367