What is the Greatest Common Factor of 68760 and 68780?

Greatest common factor (GCF) of 68760 and 68780 is 20.

GCF(68760,68780) = 20

We will now calculate the prime factors of 68760 and 68780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68760 and 68780.

How to find the GCF of 68760 and 68780?

We will first find the prime factorization of 68760 and 68780. After we will calculate the factors of 68760 and 68780 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 68780

Prime factors of 68780 are 2, 5, 19, 181. Prime factorization of 68780 in exponential form is:

68780 = 2² × 5¹ × 19¹ × 181¹

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 68780

List of positive integer factors of 68780 that divides 68760 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 181, 190, 362, 380, 724, 905, 1810, 3439, 3620, 6878, 13756, 17195, 34390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68760 and 68780. The biggest common factor number is the GCF number.
So the greatest common factor 68760 and 68780 is 20.

Also check out the Least Common Multiple of 68760 and 68780