What is the Greatest Common Factor of 61180 and 61199?

Greatest common factor (GCF) of 61180 and 61199 is 19.

GCF(61180,61199) = 19

We will now calculate the prime factors of 61180 and 61199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61180 and 61199.

How to find the GCF of 61180 and 61199?

We will first find the prime factorization of 61180 and 61199. After we will calculate the factors of 61180 and 61199 and find the biggest common factor number .

Step-1: Prime Factorization of 61180

Prime factors of 61180 are 2, 5, 7, 19, 23. Prime factorization of 61180 in exponential form is:

61180 = 2² × 5¹ × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 61199

Prime factors of 61199 are 19, 3221. Prime factorization of 61199 in exponential form is:

61199 = 19¹ × 3221¹

Step-3: Factors of 61180

List of positive integer factors of 61180 that divides 61180 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 23, 28, 35, 38, 46, 70, 76, 92, 95, 115, 133, 140, 161, 190, 230, 266, 322, 380, 437, 460, 532, 644, 665, 805, 874, 1330, 1610, 1748, 2185, 2660, 3059, 3220, 4370, 6118, 8740, 12236, 15295, 30590

Step-4: Factors of 61199

List of positive integer factors of 61199 that divides 61180 without a remainder.

1, 19, 3221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61180 and 61199. The biggest common factor number is the GCF number.
So the greatest common factor 61180 and 61199 is 19.

Also check out the Least Common Multiple of 61180 and 61199