What is the Greatest Common Factor of 65506 and 65516?

Greatest common factor (GCF) of 65506 and 65516 is 2.

GCF(65506,65516) = 2

We will now calculate the prime factors of 65506 and 65516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65506 and 65516.

How to find the GCF of 65506 and 65516?

We will first find the prime factorization of 65506 and 65516. After we will calculate the factors of 65506 and 65516 and find the biggest common factor number .

Step-1: Prime Factorization of 65506

Prime factors of 65506 are 2, 7, 4679. Prime factorization of 65506 in exponential form is:

65506 = 2¹ × 7¹ × 4679¹

Step-2: 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-3: Factors of 65506

List of positive integer factors of 65506 that divides 65506 without a remainder.

1, 2, 7, 14, 4679, 9358, 32753

Step-4: Factors of 65516

List of positive integer factors of 65516 that divides 65506 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65506 and 65516. The biggest common factor number is the GCF number.
So the greatest common factor 65506 and 65516 is 2.

Also check out the Least Common Multiple of 65506 and 65516