What is the Greatest Common Factor of 65516 and 65527?

Greatest common factor (GCF) of 65516 and 65527 is 11.

GCF(65516,65527) = 11

We will now calculate the prime factors of 65516 and 65527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65516 and 65527.

How to find the GCF of 65516 and 65527?

We will first find the prime factorization of 65516 and 65527. After we will calculate the factors of 65516 and 65527 and find the biggest common factor number .

Step-1: Prime Factorization of 65516

Prime factors of 65516 are 2, 11, 1489. Prime factorization of 65516 in exponential form is:

65516 = 2² × 11¹ × 1489¹

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 65516

List of positive integer factors of 65516 that divides 65516 without a remainder.

1, 2, 4, 11, 22, 44, 1489, 2978, 5956, 16379, 32758

Step-4: Factors of 65527

List of positive integer factors of 65527 that divides 65516 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 65516 and 65527. The biggest common factor number is the GCF number.
So the greatest common factor 65516 and 65527 is 11.

Also check out the Least Common Multiple of 65516 and 65527