What is the Greatest Common Factor of 28180 and 28199?

Greatest common factor (GCF) of 28180 and 28199 is 1.

GCF(28180,28199) = 1

We will now calculate the prime factors of 28180 and 28199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28180 and 28199.

How to find the GCF of 28180 and 28199?

We will first find the prime factorization of 28180 and 28199. After we will calculate the factors of 28180 and 28199 and find the biggest common factor number .

Step-1: Prime Factorization of 28180

Prime factors of 28180 are 2, 5, 1409. Prime factorization of 28180 in exponential form is:

28180 = 2² × 5¹ × 1409¹

Step-2: Prime Factorization of 28199

Prime factors of 28199 are 163, 173. Prime factorization of 28199 in exponential form is:

28199 = 163¹ × 173¹

Step-3: Factors of 28180

List of positive integer factors of 28180 that divides 28180 without a remainder.

1, 2, 4, 5, 10, 20, 1409, 2818, 5636, 7045, 14090

Step-4: Factors of 28199

List of positive integer factors of 28199 that divides 28180 without a remainder.

1, 163, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28180 and 28199. The biggest common factor number is the GCF number.
So the greatest common factor 28180 and 28199 is 1.

Also check out the Least Common Multiple of 28180 and 28199