What is the Greatest Common Factor of 65416 and 65429?

Greatest common factor (GCF) of 65416 and 65429 is 13.

GCF(65416,65429) = 13

We will now calculate the prime factors of 65416 and 65429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65416 and 65429.

How to find the GCF of 65416 and 65429?

We will first find the prime factorization of 65416 and 65429. After we will calculate the factors of 65416 and 65429 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 65429

Prime factors of 65429 are 7, 13, 719. Prime factorization of 65429 in exponential form is:

65429 = 7¹ × 13¹ × 719¹

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 65429

List of positive integer factors of 65429 that divides 65416 without a remainder.

1, 7, 13, 91, 719, 5033, 9347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65416 and 65429. The biggest common factor number is the GCF number.
So the greatest common factor 65416 and 65429 is 13.

Also check out the Least Common Multiple of 65416 and 65429