What is the Greatest Common Factor of 65376 and 65384?

Greatest common factor (GCF) of 65376 and 65384 is 8.

GCF(65376,65384) = 8

We will now calculate the prime factors of 65376 and 65384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65376 and 65384.

How to find the GCF of 65376 and 65384?

We will first find the prime factorization of 65376 and 65384. After we will calculate the factors of 65376 and 65384 and find the biggest common factor number .

Step-1: Prime Factorization of 65376

Prime factors of 65376 are 2, 3, 227. Prime factorization of 65376 in exponential form is:

65376 = 2⁵ × 3² × 227¹

Step-2: Prime Factorization of 65384

Prime factors of 65384 are 2, 11, 743. Prime factorization of 65384 in exponential form is:

65384 = 2³ × 11¹ × 743¹

Step-3: Factors of 65376

List of positive integer factors of 65376 that divides 65376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 227, 288, 454, 681, 908, 1362, 1816, 2043, 2724, 3632, 4086, 5448, 7264, 8172, 10896, 16344, 21792, 32688

Step-4: Factors of 65384

List of positive integer factors of 65384 that divides 65376 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 743, 1486, 2972, 5944, 8173, 16346, 32692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65376 and 65384. The biggest common factor number is the GCF number.
So the greatest common factor 65376 and 65384 is 8.

Also check out the Least Common Multiple of 65376 and 65384