What is the Greatest Common Factor of 65838 and 65847?

Greatest common factor (GCF) of 65838 and 65847 is 3.

GCF(65838,65847) = 3

We will now calculate the prime factors of 65838 and 65847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65838 and 65847.

How to find the GCF of 65838 and 65847?

We will first find the prime factorization of 65838 and 65847. After we will calculate the factors of 65838 and 65847 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 65847

Prime factors of 65847 are 3, 47, 467. Prime factorization of 65847 in exponential form is:

65847 = 3¹ × 47¹ × 467¹

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 65847

List of positive integer factors of 65847 that divides 65838 without a remainder.

1, 3, 47, 141, 467, 1401, 21949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65838 and 65847. The biggest common factor number is the GCF number.
So the greatest common factor 65838 and 65847 is 3.

Also check out the Least Common Multiple of 65838 and 65847