What is the Greatest Common Factor of 87172 and 87191?

Greatest common factor (GCF) of 87172 and 87191 is 19.

GCF(87172,87191) = 19

We will now calculate the prime factors of 87172 and 87191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87172 and 87191.

How to find the GCF of 87172 and 87191?

We will first find the prime factorization of 87172 and 87191. After we will calculate the factors of 87172 and 87191 and find the biggest common factor number .

Step-1: Prime Factorization of 87172

Prime factors of 87172 are 2, 19, 31, 37. Prime factorization of 87172 in exponential form is:

87172 = 2² × 19¹ × 31¹ × 37¹

Step-2: Prime Factorization of 87191

Prime factors of 87191 are 13, 19, 353. Prime factorization of 87191 in exponential form is:

87191 = 13¹ × 19¹ × 353¹

Step-3: Factors of 87172

List of positive integer factors of 87172 that divides 87172 without a remainder.

1, 2, 4, 19, 31, 37, 38, 62, 74, 76, 124, 148, 589, 703, 1147, 1178, 1406, 2294, 2356, 2812, 4588, 21793, 43586

Step-4: Factors of 87191

List of positive integer factors of 87191 that divides 87172 without a remainder.

1, 13, 19, 247, 353, 4589, 6707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87172 and 87191. The biggest common factor number is the GCF number.
So the greatest common factor 87172 and 87191 is 19.

Also check out the Least Common Multiple of 87172 and 87191