What is the Greatest Common Factor of 19180 and 19199?

Greatest common factor (GCF) of 19180 and 19199 is 1.

GCF(19180,19199) = 1

We will now calculate the prime factors of 19180 and 19199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19180 and 19199.

How to find the GCF of 19180 and 19199?

We will first find the prime factorization of 19180 and 19199. After we will calculate the factors of 19180 and 19199 and find the biggest common factor number .

Step-1: Prime Factorization of 19180

Prime factors of 19180 are 2, 5, 7, 137. Prime factorization of 19180 in exponential form is:

19180 = 2² × 5¹ × 7¹ × 137¹

Step-2: Prime Factorization of 19199

Prime factors of 19199 are 73, 263. Prime factorization of 19199 in exponential form is:

19199 = 73¹ × 263¹

Step-3: Factors of 19180

List of positive integer factors of 19180 that divides 19180 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 137, 140, 274, 548, 685, 959, 1370, 1918, 2740, 3836, 4795, 9590

Step-4: Factors of 19199

List of positive integer factors of 19199 that divides 19180 without a remainder.

1, 73, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19180 and 19199. The biggest common factor number is the GCF number.
So the greatest common factor 19180 and 19199 is 1.

Also check out the Least Common Multiple of 19180 and 19199