What is the Greatest Common Factor of 65348 and 65366?

Greatest common factor (GCF) of 65348 and 65366 is 2.

GCF(65348,65366) = 2

We will now calculate the prime factors of 65348 and 65366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65348 and 65366.

How to find the GCF of 65348 and 65366?

We will first find the prime factorization of 65348 and 65366. After we will calculate the factors of 65348 and 65366 and find the biggest common factor number .

Step-1: Prime Factorization of 65348

Prime factors of 65348 are 2, 17, 31. Prime factorization of 65348 in exponential form is:

65348 = 2² × 17¹ × 31²

Step-2: Prime Factorization of 65366

Prime factors of 65366 are 2, 7, 23, 29. Prime factorization of 65366 in exponential form is:

65366 = 2¹ × 7² × 23¹ × 29¹

Step-3: Factors of 65348

List of positive integer factors of 65348 that divides 65348 without a remainder.

1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 961, 1054, 1922, 2108, 3844, 16337, 32674

Step-4: Factors of 65366

List of positive integer factors of 65366 that divides 65348 without a remainder.

1, 2, 7, 14, 23, 29, 46, 49, 58, 98, 161, 203, 322, 406, 667, 1127, 1334, 1421, 2254, 2842, 4669, 9338, 32683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65348 and 65366. The biggest common factor number is the GCF number.
So the greatest common factor 65348 and 65366 is 2.

Also check out the Least Common Multiple of 65348 and 65366