What is the Greatest Common Factor of 53847 and 53862?

Greatest common factor (GCF) of 53847 and 53862 is 3.

GCF(53847,53862) = 3

We will now calculate the prime factors of 53847 and 53862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53847 and 53862.

How to find the GCF of 53847 and 53862?

We will first find the prime factorization of 53847 and 53862. After we will calculate the factors of 53847 and 53862 and find the biggest common factor number .

Step-1: Prime Factorization of 53847

Prime factors of 53847 are 3, 31, 193. Prime factorization of 53847 in exponential form is:

53847 = 3² × 31¹ × 193¹

Step-2: Prime Factorization of 53862

Prime factors of 53862 are 2, 3, 47, 191. Prime factorization of 53862 in exponential form is:

53862 = 2¹ × 3¹ × 47¹ × 191¹

Step-3: Factors of 53847

List of positive integer factors of 53847 that divides 53847 without a remainder.

1, 3, 9, 31, 93, 193, 279, 579, 1737, 5983, 17949

Step-4: Factors of 53862

List of positive integer factors of 53862 that divides 53847 without a remainder.

1, 2, 3, 6, 47, 94, 141, 191, 282, 382, 573, 1146, 8977, 17954, 26931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53847 and 53862. The biggest common factor number is the GCF number.
So the greatest common factor 53847 and 53862 is 3.

Also check out the Least Common Multiple of 53847 and 53862