What is the Greatest Common Factor of 68096 and 68110?

Greatest common factor (GCF) of 68096 and 68110 is 14.

GCF(68096,68110) = 14

We will now calculate the prime factors of 68096 and 68110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68096 and 68110.

How to find the GCF of 68096 and 68110?

We will first find the prime factorization of 68096 and 68110. After we will calculate the factors of 68096 and 68110 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 68110

Prime factors of 68110 are 2, 5, 7, 139. Prime factorization of 68110 in exponential form is:

68110 = 2¹ × 5¹ × 7² × 139¹

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 68110

List of positive integer factors of 68110 that divides 68096 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 139, 245, 278, 490, 695, 973, 1390, 1946, 4865, 6811, 9730, 13622, 34055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68096 and 68110. The biggest common factor number is the GCF number.
So the greatest common factor 68096 and 68110 is 14.

Also check out the Least Common Multiple of 68096 and 68110