What is the Greatest Common Factor of 28348 and 28361?

Greatest common factor (GCF) of 28348 and 28361 is 1.

GCF(28348,28361) = 1

We will now calculate the prime factors of 28348 and 28361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28348 and 28361.

How to find the GCF of 28348 and 28361?

We will first find the prime factorization of 28348 and 28361. After we will calculate the factors of 28348 and 28361 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 28361

Prime factors of 28361 are 79, 359. Prime factorization of 28361 in exponential form is:

28361 = 79¹ × 359¹

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 28361

List of positive integer factors of 28361 that divides 28348 without a remainder.

1, 79, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28348 and 28361. The biggest common factor number is the GCF number.
So the greatest common factor 28348 and 28361 is 1.

Also check out the Least Common Multiple of 28348 and 28361