What is the Greatest Common Factor of 59871 and 59886?

Greatest common factor (GCF) of 59871 and 59886 is 3.

GCF(59871,59886) = 3

We will now calculate the prime factors of 59871 and 59886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59871 and 59886.

How to find the GCF of 59871 and 59886?

We will first find the prime factorization of 59871 and 59886. After we will calculate the factors of 59871 and 59886 and find the biggest common factor number .

Step-1: Prime Factorization of 59871

Prime factors of 59871 are 3, 7, 2851. Prime factorization of 59871 in exponential form is:

59871 = 3¹ × 7¹ × 2851¹

Step-2: Prime Factorization of 59886

Prime factors of 59886 are 2, 3, 1109. Prime factorization of 59886 in exponential form is:

59886 = 2¹ × 3³ × 1109¹

Step-3: Factors of 59871

List of positive integer factors of 59871 that divides 59871 without a remainder.

1, 3, 7, 21, 2851, 8553, 19957

Step-4: Factors of 59886

List of positive integer factors of 59886 that divides 59871 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1109, 2218, 3327, 6654, 9981, 19962, 29943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59871 and 59886. The biggest common factor number is the GCF number.
So the greatest common factor 59871 and 59886 is 3.

Also check out the Least Common Multiple of 59871 and 59886