What is the Greatest Common Factor of 68760 and 68778?

Greatest common factor (GCF) of 68760 and 68778 is 18.

GCF(68760,68778) = 18

We will now calculate the prime factors of 68760 and 68778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68760 and 68778.

How to find the GCF of 68760 and 68778?

We will first find the prime factorization of 68760 and 68778. After we will calculate the factors of 68760 and 68778 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 68778

Prime factors of 68778 are 2, 3, 3821. Prime factorization of 68778 in exponential form is:

68778 = 2¹ × 3² × 3821¹

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 68778

List of positive integer factors of 68778 that divides 68760 without a remainder.

1, 2, 3, 6, 9, 18, 3821, 7642, 11463, 22926, 34389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68760 and 68778. The biggest common factor number is the GCF number.
So the greatest common factor 68760 and 68778 is 18.

Also check out the Least Common Multiple of 68760 and 68778