What is the Greatest Common Factor of 47805 and 47814?

Greatest common factor (GCF) of 47805 and 47814 is 3.

GCF(47805,47814) = 3

We will now calculate the prime factors of 47805 and 47814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47805 and 47814.

How to find the GCF of 47805 and 47814?

We will first find the prime factorization of 47805 and 47814. After we will calculate the factors of 47805 and 47814 and find the biggest common factor number .

Step-1: Prime Factorization of 47805

Prime factors of 47805 are 3, 5, 3187. Prime factorization of 47805 in exponential form is:

47805 = 3¹ × 5¹ × 3187¹

Step-2: Prime Factorization of 47814

Prime factors of 47814 are 2, 3, 13, 613. Prime factorization of 47814 in exponential form is:

47814 = 2¹ × 3¹ × 13¹ × 613¹

Step-3: Factors of 47805

List of positive integer factors of 47805 that divides 47805 without a remainder.

1, 3, 5, 15, 3187, 9561, 15935

Step-4: Factors of 47814

List of positive integer factors of 47814 that divides 47805 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 613, 1226, 1839, 3678, 7969, 15938, 23907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47805 and 47814. The biggest common factor number is the GCF number.
So the greatest common factor 47805 and 47814 is 3.

Also check out the Least Common Multiple of 47805 and 47814