What is the Greatest Common Factor of 52671 and 52686?

Greatest common factor (GCF) of 52671 and 52686 is 3.

GCF(52671,52686) = 3

We will now calculate the prime factors of 52671 and 52686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52671 and 52686.

How to find the GCF of 52671 and 52686?

We will first find the prime factorization of 52671 and 52686. After we will calculate the factors of 52671 and 52686 and find the biggest common factor number .

Step-1: Prime Factorization of 52671

Prime factors of 52671 are 3, 97, 181. Prime factorization of 52671 in exponential form is:

52671 = 3¹ × 97¹ × 181¹

Step-2: Prime Factorization of 52686

Prime factors of 52686 are 2, 3, 2927. Prime factorization of 52686 in exponential form is:

52686 = 2¹ × 3² × 2927¹

Step-3: Factors of 52671

List of positive integer factors of 52671 that divides 52671 without a remainder.

1, 3, 97, 181, 291, 543, 17557

Step-4: Factors of 52686

List of positive integer factors of 52686 that divides 52671 without a remainder.

1, 2, 3, 6, 9, 18, 2927, 5854, 8781, 17562, 26343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52671 and 52686. The biggest common factor number is the GCF number.
So the greatest common factor 52671 and 52686 is 3.

Also check out the Least Common Multiple of 52671 and 52686