What is the Greatest Common Factor of 65362 and 65376?

Greatest common factor (GCF) of 65362 and 65376 is 2.

GCF(65362,65376) = 2

We will now calculate the prime factors of 65362 and 65376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65362 and 65376.

How to find the GCF of 65362 and 65376?

We will first find the prime factorization of 65362 and 65376. After we will calculate the factors of 65362 and 65376 and find the biggest common factor number .

Step-1: Prime Factorization of 65362

Prime factors of 65362 are 2, 11, 2971. Prime factorization of 65362 in exponential form is:

65362 = 2¹ × 11¹ × 2971¹

Step-2: 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-3: Factors of 65362

List of positive integer factors of 65362 that divides 65362 without a remainder.

1, 2, 11, 22, 2971, 5942, 32681

Step-4: Factors of 65376

List of positive integer factors of 65376 that divides 65362 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65362 and 65376. The biggest common factor number is the GCF number.
So the greatest common factor 65362 and 65376 is 2.

Also check out the Least Common Multiple of 65362 and 65376