What is the Greatest Common Factor of 68096 and 68100?

Greatest common factor (GCF) of 68096 and 68100 is 4.

GCF(68096,68100) = 4

We will now calculate the prime factors of 68096 and 68100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68096 and 68100.

How to find the GCF of 68096 and 68100?

We will first find the prime factorization of 68096 and 68100. After we will calculate the factors of 68096 and 68100 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68100

Prime factors of 68100 are 2, 3, 5, 227. Prime factorization of 68100 in exponential form is:

68100 = 2² × 3¹ × 5² × 227¹

Step-3: Factors of 68096

List of positive integer factors of 68096 that divides 68096 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

Step-4: Factors of 68100

List of positive integer factors of 68100 that divides 68096 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 227, 300, 454, 681, 908, 1135, 1362, 2270, 2724, 3405, 4540, 5675, 6810, 11350, 13620, 17025, 22700, 34050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68096 and 68100. The biggest common factor number is the GCF number.
So the greatest common factor 68096 and 68100 is 4.

Also check out the Least Common Multiple of 68096 and 68100