What is the Greatest Common Factor of 23680 and 23695?

Greatest common factor (GCF) of 23680 and 23695 is 5.

GCF(23680,23695) = 5

We will now calculate the prime factors of 23680 and 23695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23680 and 23695.

How to find the GCF of 23680 and 23695?

We will first find the prime factorization of 23680 and 23695. After we will calculate the factors of 23680 and 23695 and find the biggest common factor number .

Step-1: Prime Factorization of 23680

Prime factors of 23680 are 2, 5, 37. Prime factorization of 23680 in exponential form is:

23680 = 2⁷ × 5¹ × 37¹

Step-2: Prime Factorization of 23695

Prime factors of 23695 are 5, 7, 677. Prime factorization of 23695 in exponential form is:

23695 = 5¹ × 7¹ × 677¹

Step-3: Factors of 23680

List of positive integer factors of 23680 that divides 23680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 64, 74, 80, 128, 148, 160, 185, 296, 320, 370, 592, 640, 740, 1184, 1480, 2368, 2960, 4736, 5920, 11840

Step-4: Factors of 23695

List of positive integer factors of 23695 that divides 23680 without a remainder.

1, 5, 7, 35, 677, 3385, 4739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23680 and 23695. The biggest common factor number is the GCF number.
So the greatest common factor 23680 and 23695 is 5.

Also check out the Least Common Multiple of 23680 and 23695