What is the Greatest Common Factor of 53853 and 53871?

Greatest common factor (GCF) of 53853 and 53871 is 3.

GCF(53853,53871) = 3

We will now calculate the prime factors of 53853 and 53871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53853 and 53871.

How to find the GCF of 53853 and 53871?

We will first find the prime factorization of 53853 and 53871. After we will calculate the factors of 53853 and 53871 and find the biggest common factor number .

Step-1: Prime Factorization of 53853

Prime factors of 53853 are 3, 29, 619. Prime factorization of 53853 in exponential form is:

53853 = 3¹ × 29¹ × 619¹

Step-2: Prime Factorization of 53871

Prime factors of 53871 are 3, 17957. Prime factorization of 53871 in exponential form is:

53871 = 3¹ × 17957¹

Step-3: Factors of 53853

List of positive integer factors of 53853 that divides 53853 without a remainder.

1, 3, 29, 87, 619, 1857, 17951

Step-4: Factors of 53871

List of positive integer factors of 53871 that divides 53853 without a remainder.

1, 3, 17957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53853 and 53871. The biggest common factor number is the GCF number.
So the greatest common factor 53853 and 53871 is 3.

Also check out the Least Common Multiple of 53853 and 53871