What is the Greatest Common Factor of 65569 and 65576?

Greatest common factor (GCF) of 65569 and 65576 is 7.

GCF(65569,65576) = 7

We will now calculate the prime factors of 65569 and 65576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65569 and 65576.

How to find the GCF of 65569 and 65576?

We will first find the prime factorization of 65569 and 65576. After we will calculate the factors of 65569 and 65576 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65576

Prime factors of 65576 are 2, 7, 1171. Prime factorization of 65576 in exponential form is:

65576 = 2³ × 7¹ × 1171¹

Step-3: Factors of 65569

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

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

Step-4: Factors of 65576

List of positive integer factors of 65576 that divides 65569 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1171, 2342, 4684, 8197, 9368, 16394, 32788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65569 and 65576. The biggest common factor number is the GCF number.
So the greatest common factor 65569 and 65576 is 7.

Also check out the Least Common Multiple of 65569 and 65576