What is the Greatest Common Factor of 68757 and 68770?

Greatest common factor (GCF) of 68757 and 68770 is 13.

GCF(68757,68770) = 13

We will now calculate the prime factors of 68757 and 68770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68757 and 68770.

How to find the GCF of 68757 and 68770?

We will first find the prime factorization of 68757 and 68770. After we will calculate the factors of 68757 and 68770 and find the biggest common factor number .

Step-1: Prime Factorization of 68757

Prime factors of 68757 are 3, 13, 41, 43. Prime factorization of 68757 in exponential form is:

68757 = 3¹ × 13¹ × 41¹ × 43¹

Step-2: 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-3: Factors of 68757

List of positive integer factors of 68757 that divides 68757 without a remainder.

1, 3, 13, 39, 41, 43, 123, 129, 533, 559, 1599, 1677, 1763, 5289, 22919

Step-4: Factors of 68770

List of positive integer factors of 68770 that divides 68757 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68757 and 68770. The biggest common factor number is the GCF number.
So the greatest common factor 68757 and 68770 is 13.

Also check out the Least Common Multiple of 68757 and 68770