What is the Greatest Common Factor of 68760 and 68768?

Greatest common factor (GCF) of 68760 and 68768 is 8.

GCF(68760,68768) = 8

We will now calculate the prime factors of 68760 and 68768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68760 and 68768.

How to find the GCF of 68760 and 68768?

We will first find the prime factorization of 68760 and 68768. After we will calculate the factors of 68760 and 68768 and find the biggest common factor number .

Step-1: Prime Factorization of 68760

Prime factors of 68760 are 2, 3, 5, 191. Prime factorization of 68760 in exponential form is:

68760 = 2³ × 3² × 5¹ × 191¹

Step-2: Prime Factorization of 68768

Prime factors of 68768 are 2, 7, 307. Prime factorization of 68768 in exponential form is:

68768 = 2⁵ × 7¹ × 307¹

Step-3: Factors of 68760

List of positive integer factors of 68760 that divides 68760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 191, 360, 382, 573, 764, 955, 1146, 1528, 1719, 1910, 2292, 2865, 3438, 3820, 4584, 5730, 6876, 7640, 8595, 11460, 13752, 17190, 22920, 34380

Step-4: Factors of 68768

List of positive integer factors of 68768 that divides 68760 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 307, 614, 1228, 2149, 2456, 4298, 4912, 8596, 9824, 17192, 34384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68760 and 68768. The biggest common factor number is the GCF number.
So the greatest common factor 68760 and 68768 is 8.

Also check out the Least Common Multiple of 68760 and 68768