What is the Greatest Common Factor of 65684 and 65704?

Greatest common factor (GCF) of 65684 and 65704 is 4.

GCF(65684,65704) = 4

We will now calculate the prime factors of 65684 and 65704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65684 and 65704.

How to find the GCF of 65684 and 65704?

We will first find the prime factorization of 65684 and 65704. After we will calculate the factors of 65684 and 65704 and find the biggest common factor number .

Step-1: Prime Factorization of 65684

Prime factors of 65684 are 2, 16421. Prime factorization of 65684 in exponential form is:

65684 = 2² × 16421¹

Step-2: Prime Factorization of 65704

Prime factors of 65704 are 2, 43, 191. Prime factorization of 65704 in exponential form is:

65704 = 2³ × 43¹ × 191¹

Step-3: Factors of 65684

List of positive integer factors of 65684 that divides 65684 without a remainder.

1, 2, 4, 16421, 32842

Step-4: Factors of 65704

List of positive integer factors of 65704 that divides 65684 without a remainder.

1, 2, 4, 8, 43, 86, 172, 191, 344, 382, 764, 1528, 8213, 16426, 32852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65684 and 65704. The biggest common factor number is the GCF number.
So the greatest common factor 65684 and 65704 is 4.

Also check out the Least Common Multiple of 65684 and 65704