What is the Greatest Common Factor of 65788 and 65808?

Greatest common factor (GCF) of 65788 and 65808 is 4.

GCF(65788,65808) = 4

We will now calculate the prime factors of 65788 and 65808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65788 and 65808.

How to find the GCF of 65788 and 65808?

We will first find the prime factorization of 65788 and 65808. After we will calculate the factors of 65788 and 65808 and find the biggest common factor number .

Step-1: Prime Factorization of 65788

Prime factors of 65788 are 2, 16447. Prime factorization of 65788 in exponential form is:

65788 = 2² × 16447¹

Step-2: Prime Factorization of 65808

Prime factors of 65808 are 2, 3, 457. Prime factorization of 65808 in exponential form is:

65808 = 2⁴ × 3² × 457¹

Step-3: Factors of 65788

List of positive integer factors of 65788 that divides 65788 without a remainder.

1, 2, 4, 16447, 32894

Step-4: Factors of 65808

List of positive integer factors of 65808 that divides 65788 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 457, 914, 1371, 1828, 2742, 3656, 4113, 5484, 7312, 8226, 10968, 16452, 21936, 32904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65788 and 65808. The biggest common factor number is the GCF number.
So the greatest common factor 65788 and 65808 is 4.

Also check out the Least Common Multiple of 65788 and 65808