What is the Greatest Common Factor of 65871 and 65891?

Greatest common factor (GCF) of 65871 and 65891 is 1.

GCF(65871,65891) = 1

We will now calculate the prime factors of 65871 and 65891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65871 and 65891.

How to find the GCF of 65871 and 65891?

We will first find the prime factorization of 65871 and 65891. After we will calculate the factors of 65871 and 65891 and find the biggest common factor number .

Step-1: Prime Factorization of 65871

Prime factors of 65871 are 3, 13, 563. Prime factorization of 65871 in exponential form is:

65871 = 3² × 13¹ × 563¹

Step-2: Prime Factorization of 65891

Prime factors of 65891 are 7, 9413. Prime factorization of 65891 in exponential form is:

65891 = 7¹ × 9413¹

Step-3: Factors of 65871

List of positive integer factors of 65871 that divides 65871 without a remainder.

1, 3, 9, 13, 39, 117, 563, 1689, 5067, 7319, 21957

Step-4: Factors of 65891

List of positive integer factors of 65891 that divides 65871 without a remainder.

1, 7, 9413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65871 and 65891. The biggest common factor number is the GCF number.
So the greatest common factor 65871 and 65891 is 1.

Also check out the Least Common Multiple of 65871 and 65891