What is the Greatest Common Factor of 28348 and 28362?

Greatest common factor (GCF) of 28348 and 28362 is 2.

GCF(28348,28362) = 2

We will now calculate the prime factors of 28348 and 28362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28348 and 28362.

How to find the GCF of 28348 and 28362?

We will first find the prime factorization of 28348 and 28362. After we will calculate the factors of 28348 and 28362 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 28362

Prime factors of 28362 are 2, 3, 29, 163. Prime factorization of 28362 in exponential form is:

28362 = 2¹ × 3¹ × 29¹ × 163¹

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 28362

List of positive integer factors of 28362 that divides 28348 without a remainder.

1, 2, 3, 6, 29, 58, 87, 163, 174, 326, 489, 978, 4727, 9454, 14181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28348 and 28362. The biggest common factor number is the GCF number.
So the greatest common factor 28348 and 28362 is 2.

Also check out the Least Common Multiple of 28348 and 28362