What is the Greatest Common Factor of 68785 and 68805?

Greatest common factor (GCF) of 68785 and 68805 is 5.

GCF(68785,68805) = 5

We will now calculate the prime factors of 68785 and 68805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68785 and 68805.

How to find the GCF of 68785 and 68805?

We will first find the prime factorization of 68785 and 68805. After we will calculate the factors of 68785 and 68805 and find the biggest common factor number .

Step-1: Prime Factorization of 68785

Prime factors of 68785 are 5, 13757. Prime factorization of 68785 in exponential form is:

68785 = 5¹ × 13757¹

Step-2: Prime Factorization of 68805

Prime factors of 68805 are 3, 5, 11, 139. Prime factorization of 68805 in exponential form is:

68805 = 3² × 5¹ × 11¹ × 139¹

Step-3: Factors of 68785

List of positive integer factors of 68785 that divides 68785 without a remainder.

1, 5, 13757

Step-4: Factors of 68805

List of positive integer factors of 68805 that divides 68785 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 139, 165, 417, 495, 695, 1251, 1529, 2085, 4587, 6255, 7645, 13761, 22935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68785 and 68805. The biggest common factor number is the GCF number.
So the greatest common factor 68785 and 68805 is 5.

Also check out the Least Common Multiple of 68785 and 68805