What is the Greatest Common Factor of 65488 and 65504?

Greatest common factor (GCF) of 65488 and 65504 is 16.

GCF(65488,65504) = 16

We will now calculate the prime factors of 65488 and 65504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65488 and 65504.

How to find the GCF of 65488 and 65504?

We will first find the prime factorization of 65488 and 65504. After we will calculate the factors of 65488 and 65504 and find the biggest common factor number .

Step-1: Prime Factorization of 65488

Prime factors of 65488 are 2, 4093. Prime factorization of 65488 in exponential form is:

65488 = 2⁴ × 4093¹

Step-2: Prime Factorization of 65504

Prime factors of 65504 are 2, 23, 89. Prime factorization of 65504 in exponential form is:

65504 = 2⁵ × 23¹ × 89¹

Step-3: Factors of 65488

List of positive integer factors of 65488 that divides 65488 without a remainder.

1, 2, 4, 8, 16, 4093, 8186, 16372, 32744

Step-4: Factors of 65504

List of positive integer factors of 65504 that divides 65488 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 89, 92, 178, 184, 356, 368, 712, 736, 1424, 2047, 2848, 4094, 8188, 16376, 32752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65488 and 65504. The biggest common factor number is the GCF number.
So the greatest common factor 65488 and 65504 is 16.

Also check out the Least Common Multiple of 65488 and 65504