What is the Greatest Common Factor of 47297 and 47313?

Greatest common factor (GCF) of 47297 and 47313 is 1.

GCF(47297,47313) = 1

We will now calculate the prime factors of 47297 and 47313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47297 and 47313.

How to find the GCF of 47297 and 47313?

We will first find the prime factorization of 47297 and 47313. After we will calculate the factors of 47297 and 47313 and find the biggest common factor number .

Step-1: Prime Factorization of 47297

Prime factors of 47297 are 47297. Prime factorization of 47297 in exponential form is:

47297 = 47297¹

Step-2: Prime Factorization of 47313

Prime factors of 47313 are 3, 7, 751. Prime factorization of 47313 in exponential form is:

47313 = 3² × 7¹ × 751¹

Step-3: Factors of 47297

List of positive integer factors of 47297 that divides 47297 without a remainder.

Step-4: Factors of 47313

List of positive integer factors of 47313 that divides 47297 without a remainder.

1, 3, 7, 9, 21, 63, 751, 2253, 5257, 6759, 15771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47297 and 47313. The biggest common factor number is the GCF number.
So the greatest common factor 47297 and 47313 is 1.

Also check out the Least Common Multiple of 47297 and 47313