What is the Greatest Common Factor of 47097 and 47115?

Greatest common factor (GCF) of 47097 and 47115 is 9.

GCF(47097,47115) = 9

We will now calculate the prime factors of 47097 and 47115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47097 and 47115.

How to find the GCF of 47097 and 47115?

We will first find the prime factorization of 47097 and 47115. After we will calculate the factors of 47097 and 47115 and find the biggest common factor number .

Step-1: Prime Factorization of 47097

Prime factors of 47097 are 3, 5233. Prime factorization of 47097 in exponential form is:

47097 = 3² × 5233¹

Step-2: 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-3: Factors of 47097

List of positive integer factors of 47097 that divides 47097 without a remainder.

1, 3, 9, 5233, 15699

Step-4: Factors of 47115

List of positive integer factors of 47115 that divides 47097 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47097 and 47115. The biggest common factor number is the GCF number.
So the greatest common factor 47097 and 47115 is 9.

Also check out the Least Common Multiple of 47097 and 47115