What is the Greatest Common Factor of 65508 and 65528?

Greatest common factor (GCF) of 65508 and 65528 is 4.

GCF(65508,65528) = 4

We will now calculate the prime factors of 65508 and 65528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65508 and 65528.

How to find the GCF of 65508 and 65528?

We will first find the prime factorization of 65508 and 65528. After we will calculate the factors of 65508 and 65528 and find the biggest common factor number .

Step-1: Prime Factorization of 65508

Prime factors of 65508 are 2, 3, 53, 103. Prime factorization of 65508 in exponential form is:

65508 = 2² × 3¹ × 53¹ × 103¹

Step-2: Prime Factorization of 65528

Prime factors of 65528 are 2, 8191. Prime factorization of 65528 in exponential form is:

65528 = 2³ × 8191¹

Step-3: Factors of 65508

List of positive integer factors of 65508 that divides 65508 without a remainder.

1, 2, 3, 4, 6, 12, 53, 103, 106, 159, 206, 212, 309, 318, 412, 618, 636, 1236, 5459, 10918, 16377, 21836, 32754

Step-4: Factors of 65528

List of positive integer factors of 65528 that divides 65508 without a remainder.

1, 2, 4, 8, 8191, 16382, 32764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65508 and 65528. The biggest common factor number is the GCF number.
So the greatest common factor 65508 and 65528 is 4.

Also check out the Least Common Multiple of 65508 and 65528