What is the Greatest Common Factor of 68080 and 68096?

Greatest common factor (GCF) of 68080 and 68096 is 16.

GCF(68080,68096) = 16

We will now calculate the prime factors of 68080 and 68096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68080 and 68096.

How to find the GCF of 68080 and 68096?

We will first find the prime factorization of 68080 and 68096. After we will calculate the factors of 68080 and 68096 and find the biggest common factor number .

Step-1: Prime Factorization of 68080

Prime factors of 68080 are 2, 5, 23, 37. Prime factorization of 68080 in exponential form is:

68080 = 2⁴ × 5¹ × 23¹ × 37¹

Step-2: Prime Factorization of 68096

Prime factors of 68096 are 2, 7, 19. Prime factorization of 68096 in exponential form is:

68096 = 2⁹ × 7¹ × 19¹

Step-3: Factors of 68080

List of positive integer factors of 68080 that divides 68080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 37, 40, 46, 74, 80, 92, 115, 148, 184, 185, 230, 296, 368, 370, 460, 592, 740, 851, 920, 1480, 1702, 1840, 2960, 3404, 4255, 6808, 8510, 13616, 17020, 34040

Step-4: Factors of 68096

List of positive integer factors of 68096 that divides 68080 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 128, 133, 152, 224, 256, 266, 304, 448, 512, 532, 608, 896, 1064, 1216, 1792, 2128, 2432, 3584, 4256, 4864, 8512, 9728, 17024, 34048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68080 and 68096. The biggest common factor number is the GCF number.
So the greatest common factor 68080 and 68096 is 16.

Also check out the Least Common Multiple of 68080 and 68096