What is the Greatest Common Factor of 47172 and 47192?

Greatest common factor (GCF) of 47172 and 47192 is 4.

GCF(47172,47192) = 4

We will now calculate the prime factors of 47172 and 47192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47172 and 47192.

How to find the GCF of 47172 and 47192?

We will first find the prime factorization of 47172 and 47192. After we will calculate the factors of 47172 and 47192 and find the biggest common factor number .

Step-1: Prime Factorization of 47172

Prime factors of 47172 are 2, 3, 3931. Prime factorization of 47172 in exponential form is:

47172 = 2² × 3¹ × 3931¹

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 47172

List of positive integer factors of 47172 that divides 47172 without a remainder.

1, 2, 3, 4, 6, 12, 3931, 7862, 11793, 15724, 23586

Step-4: Factors of 47192

List of positive integer factors of 47192 that divides 47172 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 47172 and 47192. The biggest common factor number is the GCF number.
So the greatest common factor 47172 and 47192 is 4.

Also check out the Least Common Multiple of 47172 and 47192