What is the Greatest Common Factor of 65792 and 65802?

Greatest common factor (GCF) of 65792 and 65802 is 2.

GCF(65792,65802) = 2

We will now calculate the prime factors of 65792 and 65802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65792 and 65802.

How to find the GCF of 65792 and 65802?

We will first find the prime factorization of 65792 and 65802. After we will calculate the factors of 65792 and 65802 and find the biggest common factor number .

Step-1: Prime Factorization of 65792

Prime factors of 65792 are 2, 257. Prime factorization of 65792 in exponential form is:

65792 = 2⁸ × 257¹

Step-2: Prime Factorization of 65802

Prime factors of 65802 are 2, 3, 11, 997. Prime factorization of 65802 in exponential form is:

65802 = 2¹ × 3¹ × 11¹ × 997¹

Step-3: Factors of 65792

List of positive integer factors of 65792 that divides 65792 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 257, 514, 1028, 2056, 4112, 8224, 16448, 32896

Step-4: Factors of 65802

List of positive integer factors of 65802 that divides 65792 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 997, 1994, 2991, 5982, 10967, 21934, 32901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65792 and 65802. The biggest common factor number is the GCF number.
So the greatest common factor 65792 and 65802 is 2.

Also check out the Least Common Multiple of 65792 and 65802