What is the Greatest Common Factor of 65500 and 65504?

Greatest common factor (GCF) of 65500 and 65504 is 4.

GCF(65500,65504) = 4

We will now calculate the prime factors of 65500 and 65504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65500 and 65504.

How to find the GCF of 65500 and 65504?

We will first find the prime factorization of 65500 and 65504. After we will calculate the factors of 65500 and 65504 and find the biggest common factor number .

Step-1: Prime Factorization of 65500

Prime factors of 65500 are 2, 5, 131. Prime factorization of 65500 in exponential form is:

65500 = 2² × 5³ × 131¹

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 65500

List of positive integer factors of 65500 that divides 65500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 131, 250, 262, 500, 524, 655, 1310, 2620, 3275, 6550, 13100, 16375, 32750

Step-4: Factors of 65504

List of positive integer factors of 65504 that divides 65500 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 65500 and 65504. The biggest common factor number is the GCF number.
So the greatest common factor 65500 and 65504 is 4.

Also check out the Least Common Multiple of 65500 and 65504