What is the Greatest Common Factor of 65838 and 65857?

Greatest common factor (GCF) of 65838 and 65857 is 1.

GCF(65838,65857) = 1

We will now calculate the prime factors of 65838 and 65857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65838 and 65857.

How to find the GCF of 65838 and 65857?

We will first find the prime factorization of 65838 and 65857. After we will calculate the factors of 65838 and 65857 and find the biggest common factor number .

Step-1: Prime Factorization of 65838

Prime factors of 65838 are 2, 3, 10973. Prime factorization of 65838 in exponential form is:

65838 = 2¹ × 3¹ × 10973¹

Step-2: Prime Factorization of 65857

Prime factors of 65857 are 11, 5987. Prime factorization of 65857 in exponential form is:

65857 = 11¹ × 5987¹

Step-3: Factors of 65838

List of positive integer factors of 65838 that divides 65838 without a remainder.

1, 2, 3, 6, 10973, 21946, 32919

Step-4: Factors of 65857

List of positive integer factors of 65857 that divides 65838 without a remainder.

1, 11, 5987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65838 and 65857. The biggest common factor number is the GCF number.
So the greatest common factor 65838 and 65857 is 1.

Also check out the Least Common Multiple of 65838 and 65857