What is the Greatest Common Factor of 47334 and 47353?

Greatest common factor (GCF) of 47334 and 47353 is 1.

GCF(47334,47353) = 1

We will now calculate the prime factors of 47334 and 47353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47334 and 47353.

How to find the GCF of 47334 and 47353?

We will first find the prime factorization of 47334 and 47353. After we will calculate the factors of 47334 and 47353 and find the biggest common factor number .

Step-1: Prime Factorization of 47334

Prime factors of 47334 are 2, 3, 7, 23. Prime factorization of 47334 in exponential form is:

47334 = 2¹ × 3¹ × 7³ × 23¹

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 47334

List of positive integer factors of 47334 that divides 47334 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 343, 483, 686, 966, 1029, 1127, 2058, 2254, 3381, 6762, 7889, 15778, 23667

Step-4: Factors of 47353

List of positive integer factors of 47353 that divides 47334 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47334 and 47353. The biggest common factor number is the GCF number.
So the greatest common factor 47334 and 47353 is 1.

Also check out the Least Common Multiple of 47334 and 47353