What is the Greatest Common Factor of 47314 and 47334?

Greatest common factor (GCF) of 47314 and 47334 is 2.

GCF(47314,47334) = 2

We will now calculate the prime factors of 47314 and 47334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47314 and 47334.

How to find the GCF of 47314 and 47334?

We will first find the prime factorization of 47314 and 47334. After we will calculate the factors of 47314 and 47334 and find the biggest common factor number .

Step-1: Prime Factorization of 47314

Prime factors of 47314 are 2, 41, 577. Prime factorization of 47314 in exponential form is:

47314 = 2¹ × 41¹ × 577¹

Step-2: 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-3: Factors of 47314

List of positive integer factors of 47314 that divides 47314 without a remainder.

1, 2, 41, 82, 577, 1154, 23657

Step-4: Factors of 47334

List of positive integer factors of 47334 that divides 47314 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47314 and 47334. The biggest common factor number is the GCF number.
So the greatest common factor 47314 and 47334 is 2.

Also check out the Least Common Multiple of 47314 and 47334