What is the Greatest Common Factor of 68770 and 68776?

Greatest common factor (GCF) of 68770 and 68776 is 2.

GCF(68770,68776) = 2

We will now calculate the prime factors of 68770 and 68776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68770 and 68776.

How to find the GCF of 68770 and 68776?

We will first find the prime factorization of 68770 and 68776. After we will calculate the factors of 68770 and 68776 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 68776

Prime factors of 68776 are 2, 8597. Prime factorization of 68776 in exponential form is:

68776 = 2³ × 8597¹

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 68776

List of positive integer factors of 68776 that divides 68770 without a remainder.

1, 2, 4, 8, 8597, 17194, 34388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68770 and 68776. The biggest common factor number is the GCF number.
So the greatest common factor 68770 and 68776 is 2.

Also check out the Least Common Multiple of 68770 and 68776