What is the Greatest Common Factor of 73180 and 73191?

Greatest common factor (GCF) of 73180 and 73191 is 1.

GCF(73180,73191) = 1

We will now calculate the prime factors of 73180 and 73191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73180 and 73191.

How to find the GCF of 73180 and 73191?

We will first find the prime factorization of 73180 and 73191. After we will calculate the factors of 73180 and 73191 and find the biggest common factor number .

Step-1: Prime Factorization of 73180

Prime factors of 73180 are 2, 5, 3659. Prime factorization of 73180 in exponential form is:

73180 = 2² × 5¹ × 3659¹

Step-2: Prime Factorization of 73191

Prime factors of 73191 are 3, 31, 787. Prime factorization of 73191 in exponential form is:

73191 = 3¹ × 31¹ × 787¹

Step-3: Factors of 73180

List of positive integer factors of 73180 that divides 73180 without a remainder.

1, 2, 4, 5, 10, 20, 3659, 7318, 14636, 18295, 36590

Step-4: Factors of 73191

List of positive integer factors of 73191 that divides 73180 without a remainder.

1, 3, 31, 93, 787, 2361, 24397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73180 and 73191. The biggest common factor number is the GCF number.
So the greatest common factor 73180 and 73191 is 1.

Also check out the Least Common Multiple of 73180 and 73191