What is the Greatest Common Factor of 47319 and 47333?

Greatest common factor (GCF) of 47319 and 47333 is 1.

GCF(47319,47333) = 1

We will now calculate the prime factors of 47319 and 47333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47319 and 47333.

How to find the GCF of 47319 and 47333?

We will first find the prime factorization of 47319 and 47333. After we will calculate the factors of 47319 and 47333 and find the biggest common factor number .

Step-1: Prime Factorization of 47319

Prime factors of 47319 are 3, 15773. Prime factorization of 47319 in exponential form is:

47319 = 3¹ × 15773¹

Step-2: Prime Factorization of 47333

Prime factors of 47333 are 11, 13, 331. Prime factorization of 47333 in exponential form is:

47333 = 11¹ × 13¹ × 331¹

Step-3: Factors of 47319

List of positive integer factors of 47319 that divides 47319 without a remainder.

1, 3, 15773

Step-4: Factors of 47333

List of positive integer factors of 47333 that divides 47319 without a remainder.

1, 11, 13, 143, 331, 3641, 4303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47319 and 47333. The biggest common factor number is the GCF number.
So the greatest common factor 47319 and 47333 is 1.

Also check out the Least Common Multiple of 47319 and 47333