What is the Greatest Common Factor of 47796 and 47805?

Greatest common factor (GCF) of 47796 and 47805 is 3.

GCF(47796,47805) = 3

We will now calculate the prime factors of 47796 and 47805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47796 and 47805.

How to find the GCF of 47796 and 47805?

We will first find the prime factorization of 47796 and 47805. After we will calculate the factors of 47796 and 47805 and find the biggest common factor number .

Step-1: Prime Factorization of 47796

Prime factors of 47796 are 2, 3, 7, 569. Prime factorization of 47796 in exponential form is:

47796 = 2² × 3¹ × 7¹ × 569¹

Step-2: 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-3: Factors of 47796

List of positive integer factors of 47796 that divides 47796 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 569, 1138, 1707, 2276, 3414, 3983, 6828, 7966, 11949, 15932, 23898

Step-4: Factors of 47805

List of positive integer factors of 47805 that divides 47796 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47796 and 47805. The biggest common factor number is the GCF number.
So the greatest common factor 47796 and 47805 is 3.

Also check out the Least Common Multiple of 47796 and 47805