What is the Greatest Common Factor of 47334 and 47341?

Greatest common factor (GCF) of 47334 and 47341 is 7.

GCF(47334,47341) = 7

We will now calculate the prime factors of 47334 and 47341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47334 and 47341.

How to find the GCF of 47334 and 47341?

We will first find the prime factorization of 47334 and 47341. After we will calculate the factors of 47334 and 47341 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 47341

Prime factors of 47341 are 7, 6763. Prime factorization of 47341 in exponential form is:

47341 = 7¹ × 6763¹

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 47341

List of positive integer factors of 47341 that divides 47334 without a remainder.

1, 7, 6763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47334 and 47341. The biggest common factor number is the GCF number.
So the greatest common factor 47334 and 47341 is 7.

Also check out the Least Common Multiple of 47334 and 47341