What is the Greatest Common Factor of 68085 and 68096?

Greatest common factor (GCF) of 68085 and 68096 is 1.

GCF(68085,68096) = 1

We will now calculate the prime factors of 68085 and 68096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68085 and 68096.

How to find the GCF of 68085 and 68096?

We will first find the prime factorization of 68085 and 68096. After we will calculate the factors of 68085 and 68096 and find the biggest common factor number .

Step-1: Prime Factorization of 68085

Prime factors of 68085 are 3, 5, 17, 89. Prime factorization of 68085 in exponential form is:

68085 = 3² × 5¹ × 17¹ × 89¹

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 68085

List of positive integer factors of 68085 that divides 68085 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 89, 153, 255, 267, 445, 765, 801, 1335, 1513, 4005, 4539, 7565, 13617, 22695

Step-4: Factors of 68096

List of positive integer factors of 68096 that divides 68085 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 68085 and 68096. The biggest common factor number is the GCF number.
So the greatest common factor 68085 and 68096 is 1.

Also check out the Least Common Multiple of 68085 and 68096