What is the Greatest Common Factor of 65513 and 65527?

Greatest common factor (GCF) of 65513 and 65527 is 7.

GCF(65513,65527) = 7

We will now calculate the prime factors of 65513 and 65527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65513 and 65527.

How to find the GCF of 65513 and 65527?

We will first find the prime factorization of 65513 and 65527. After we will calculate the factors of 65513 and 65527 and find the biggest common factor number .

Step-1: Prime Factorization of 65513

Prime factors of 65513 are 7, 191. Prime factorization of 65513 in exponential form is:

65513 = 7³ × 191¹

Step-2: Prime Factorization of 65527

Prime factors of 65527 are 7, 11, 23, 37. Prime factorization of 65527 in exponential form is:

65527 = 7¹ × 11¹ × 23¹ × 37¹

Step-3: Factors of 65513

List of positive integer factors of 65513 that divides 65513 without a remainder.

1, 7, 49, 191, 343, 1337, 9359

Step-4: Factors of 65527

List of positive integer factors of 65527 that divides 65513 without a remainder.

1, 7, 11, 23, 37, 77, 161, 253, 259, 407, 851, 1771, 2849, 5957, 9361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65513 and 65527. The biggest common factor number is the GCF number.
So the greatest common factor 65513 and 65527 is 7.

Also check out the Least Common Multiple of 65513 and 65527