What is the Greatest Common Factor of 47115 and 47127?

Greatest common factor (GCF) of 47115 and 47127 is 3.

GCF(47115,47127) = 3

We will now calculate the prime factors of 47115 and 47127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47115 and 47127.

How to find the GCF of 47115 and 47127?

We will first find the prime factorization of 47115 and 47127. After we will calculate the factors of 47115 and 47127 and find the biggest common factor number .

Step-1: Prime Factorization of 47115

Prime factors of 47115 are 3, 5, 349. Prime factorization of 47115 in exponential form is:

47115 = 3³ × 5¹ × 349¹

Step-2: Prime Factorization of 47127

Prime factors of 47127 are 3, 23, 683. Prime factorization of 47127 in exponential form is:

47127 = 3¹ × 23¹ × 683¹

Step-3: Factors of 47115

List of positive integer factors of 47115 that divides 47115 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 349, 1047, 1745, 3141, 5235, 9423, 15705

Step-4: Factors of 47127

List of positive integer factors of 47127 that divides 47115 without a remainder.

1, 3, 23, 69, 683, 2049, 15709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47115 and 47127. The biggest common factor number is the GCF number.
So the greatest common factor 47115 and 47127 is 3.

Also check out the Least Common Multiple of 47115 and 47127