What is the Greatest Common Factor of 47187 and 47192?

Greatest common factor (GCF) of 47187 and 47192 is 1.

GCF(47187,47192) = 1

We will now calculate the prime factors of 47187 and 47192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47187 and 47192.

How to find the GCF of 47187 and 47192?

We will first find the prime factorization of 47187 and 47192. After we will calculate the factors of 47187 and 47192 and find the biggest common factor number .

Step-1: Prime Factorization of 47187

Prime factors of 47187 are 3, 7, 107. Prime factorization of 47187 in exponential form is:

47187 = 3² × 7² × 107¹

Step-2: Prime Factorization of 47192

Prime factors of 47192 are 2, 17, 347. Prime factorization of 47192 in exponential form is:

47192 = 2³ × 17¹ × 347¹

Step-3: Factors of 47187

List of positive integer factors of 47187 that divides 47187 without a remainder.

1, 3, 7, 9, 21, 49, 63, 107, 147, 321, 441, 749, 963, 2247, 5243, 6741, 15729

Step-4: Factors of 47192

List of positive integer factors of 47192 that divides 47187 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 347, 694, 1388, 2776, 5899, 11798, 23596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47187 and 47192. The biggest common factor number is the GCF number.
So the greatest common factor 47187 and 47192 is 1.

Also check out the Least Common Multiple of 47187 and 47192