What is the Greatest Common Factor of 65504 and 65524?

Greatest common factor (GCF) of 65504 and 65524 is 4.

GCF(65504,65524) = 4

We will now calculate the prime factors of 65504 and 65524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65504 and 65524.

How to find the GCF of 65504 and 65524?

We will first find the prime factorization of 65504 and 65524. After we will calculate the factors of 65504 and 65524 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65524

Prime factors of 65524 are 2, 16381. Prime factorization of 65524 in exponential form is:

65524 = 2² × 16381¹

Step-3: Factors of 65504

List of positive integer factors of 65504 that divides 65504 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

Step-4: Factors of 65524

List of positive integer factors of 65524 that divides 65504 without a remainder.

1, 2, 4, 16381, 32762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65504 and 65524. The biggest common factor number is the GCF number.
So the greatest common factor 65504 and 65524 is 4.

Also check out the Least Common Multiple of 65504 and 65524