What is the Greatest Common Factor of 47337 and 47353?

Greatest common factor (GCF) of 47337 and 47353 is 1.

GCF(47337,47353) = 1

We will now calculate the prime factors of 47337 and 47353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47337 and 47353.

How to find the GCF of 47337 and 47353?

We will first find the prime factorization of 47337 and 47353. After we will calculate the factors of 47337 and 47353 and find the biggest common factor number .

Step-1: Prime Factorization of 47337

Prime factors of 47337 are 3, 31, 509. Prime factorization of 47337 in exponential form is:

47337 = 3¹ × 31¹ × 509¹

Step-2: Prime Factorization of 47353

Prime factors of 47353 are 47353. Prime factorization of 47353 in exponential form is:

47353 = 47353¹

Step-3: Factors of 47337

List of positive integer factors of 47337 that divides 47337 without a remainder.

1, 3, 31, 93, 509, 1527, 15779

Step-4: Factors of 47353

List of positive integer factors of 47353 that divides 47337 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47337 and 47353. The biggest common factor number is the GCF number.
So the greatest common factor 47337 and 47353 is 1.

Also check out the Least Common Multiple of 47337 and 47353