What is the Greatest Common Factor of 65366 and 65380?

Greatest common factor (GCF) of 65366 and 65380 is 14.

GCF(65366,65380) = 14

We will now calculate the prime factors of 65366 and 65380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65366 and 65380.

How to find the GCF of 65366 and 65380?

We will first find the prime factorization of 65366 and 65380. After we will calculate the factors of 65366 and 65380 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65380

Prime factors of 65380 are 2, 5, 7, 467. Prime factorization of 65380 in exponential form is:

65380 = 2² × 5¹ × 7¹ × 467¹

Step-3: Factors of 65366

List of positive integer factors of 65366 that divides 65366 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

Step-4: Factors of 65380

List of positive integer factors of 65380 that divides 65366 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 467, 934, 1868, 2335, 3269, 4670, 6538, 9340, 13076, 16345, 32690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65366 and 65380. The biggest common factor number is the GCF number.
So the greatest common factor 65366 and 65380 is 14.

Also check out the Least Common Multiple of 65366 and 65380