What is the Greatest Common Factor of 47499 and 47514?

Greatest common factor (GCF) of 47499 and 47514 is 3.

GCF(47499,47514) = 3

We will now calculate the prime factors of 47499 and 47514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47499 and 47514.

How to find the GCF of 47499 and 47514?

We will first find the prime factorization of 47499 and 47514. After we will calculate the factors of 47499 and 47514 and find the biggest common factor number .

Step-1: Prime Factorization of 47499

Prime factors of 47499 are 3, 71, 223. Prime factorization of 47499 in exponential form is:

47499 = 3¹ × 71¹ × 223¹

Step-2: Prime Factorization of 47514

Prime factors of 47514 are 2, 3, 7919. Prime factorization of 47514 in exponential form is:

47514 = 2¹ × 3¹ × 7919¹

Step-3: Factors of 47499

List of positive integer factors of 47499 that divides 47499 without a remainder.

1, 3, 71, 213, 223, 669, 15833

Step-4: Factors of 47514

List of positive integer factors of 47514 that divides 47499 without a remainder.

1, 2, 3, 6, 7919, 15838, 23757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47499 and 47514. The biggest common factor number is the GCF number.
So the greatest common factor 47499 and 47514 is 3.

Also check out the Least Common Multiple of 47499 and 47514