What is the Greatest Common Factor of 68760 and 68777?

Greatest common factor (GCF) of 68760 and 68777 is 1.

GCF(68760,68777) = 1

We will now calculate the prime factors of 68760 and 68777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68760 and 68777.

How to find the GCF of 68760 and 68777?

We will first find the prime factorization of 68760 and 68777. After we will calculate the factors of 68760 and 68777 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 68777

Prime factors of 68777 are 68777. Prime factorization of 68777 in exponential form is:

68777 = 68777¹

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 68777

List of positive integer factors of 68777 that divides 68760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68760 and 68777. The biggest common factor number is the GCF number.
So the greatest common factor 68760 and 68777 is 1.

Also check out the Least Common Multiple of 68760 and 68777