What is the Greatest Common Factor of 65552 and 65569?

Greatest common factor (GCF) of 65552 and 65569 is 17.

GCF(65552,65569) = 17

We will now calculate the prime factors of 65552 and 65569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65552 and 65569.

How to find the GCF of 65552 and 65569?

We will first find the prime factorization of 65552 and 65569. After we will calculate the factors of 65552 and 65569 and find the biggest common factor number .

Step-1: Prime Factorization of 65552

Prime factors of 65552 are 2, 17, 241. Prime factorization of 65552 in exponential form is:

65552 = 2⁴ × 17¹ × 241¹

Step-2: Prime Factorization of 65569

Prime factors of 65569 are 7, 17, 19, 29. Prime factorization of 65569 in exponential form is:

65569 = 7¹ × 17¹ × 19¹ × 29¹

Step-3: Factors of 65552

List of positive integer factors of 65552 that divides 65552 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 241, 272, 482, 964, 1928, 3856, 4097, 8194, 16388, 32776

Step-4: Factors of 65569

List of positive integer factors of 65569 that divides 65552 without a remainder.

1, 7, 17, 19, 29, 119, 133, 203, 323, 493, 551, 2261, 3451, 3857, 9367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65552 and 65569. The biggest common factor number is the GCF number.
So the greatest common factor 65552 and 65569 is 17.

Also check out the Least Common Multiple of 65552 and 65569