What is the Greatest Common Factor of 65416 and 65434?

Greatest common factor (GCF) of 65416 and 65434 is 2.

GCF(65416,65434) = 2

We will now calculate the prime factors of 65416 and 65434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65416 and 65434.

How to find the GCF of 65416 and 65434?

We will first find the prime factorization of 65416 and 65434. After we will calculate the factors of 65416 and 65434 and find the biggest common factor number .

Step-1: Prime Factorization of 65416

Prime factors of 65416 are 2, 13, 17, 37. Prime factorization of 65416 in exponential form is:

65416 = 2³ × 13¹ × 17¹ × 37¹

Step-2: Prime Factorization of 65434

Prime factors of 65434 are 2, 32717. Prime factorization of 65434 in exponential form is:

65434 = 2¹ × 32717¹

Step-3: Factors of 65416

List of positive integer factors of 65416 that divides 65416 without a remainder.

1, 2, 4, 8, 13, 17, 26, 34, 37, 52, 68, 74, 104, 136, 148, 221, 296, 442, 481, 629, 884, 962, 1258, 1768, 1924, 2516, 3848, 5032, 8177, 16354, 32708

Step-4: Factors of 65434

List of positive integer factors of 65434 that divides 65416 without a remainder.

1, 2, 32717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65416 and 65434. The biggest common factor number is the GCF number.
So the greatest common factor 65416 and 65434 is 2.

Also check out the Least Common Multiple of 65416 and 65434