What is the Greatest Common Factor of 68770 and 68783?

Greatest common factor (GCF) of 68770 and 68783 is 13.

GCF(68770,68783) = 13

We will now calculate the prime factors of 68770 and 68783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68770 and 68783.

How to find the GCF of 68770 and 68783?

We will first find the prime factorization of 68770 and 68783. After we will calculate the factors of 68770 and 68783 and find the biggest common factor number .

Step-1: Prime Factorization of 68770

Prime factors of 68770 are 2, 5, 13, 23. Prime factorization of 68770 in exponential form is:

68770 = 2¹ × 5¹ × 13¹ × 23²

Step-2: Prime Factorization of 68783

Prime factors of 68783 are 11, 13, 37. Prime factorization of 68783 in exponential form is:

68783 = 11¹ × 13² × 37¹

Step-3: Factors of 68770

List of positive integer factors of 68770 that divides 68770 without a remainder.

1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 529, 598, 1058, 1495, 2645, 2990, 5290, 6877, 13754, 34385

Step-4: Factors of 68783

List of positive integer factors of 68783 that divides 68770 without a remainder.

1, 11, 13, 37, 143, 169, 407, 481, 1859, 5291, 6253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68770 and 68783. The biggest common factor number is the GCF number.
So the greatest common factor 68770 and 68783 is 13.

Also check out the Least Common Multiple of 68770 and 68783