What is the Greatest Common Factor of 77686 and 77694?

Greatest common factor (GCF) of 77686 and 77694 is 2.

GCF(77686,77694) = 2

We will now calculate the prime factors of 77686 and 77694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77686 and 77694.

How to find the GCF of 77686 and 77694?

We will first find the prime factorization of 77686 and 77694. After we will calculate the factors of 77686 and 77694 and find the biggest common factor number .

Step-1: Prime Factorization of 77686

Prime factors of 77686 are 2, 7, 31, 179. Prime factorization of 77686 in exponential form is:

77686 = 2¹ × 7¹ × 31¹ × 179¹

Step-2: Prime Factorization of 77694

Prime factors of 77694 are 2, 3, 23, 563. Prime factorization of 77694 in exponential form is:

77694 = 2¹ × 3¹ × 23¹ × 563¹

Step-3: Factors of 77686

List of positive integer factors of 77686 that divides 77686 without a remainder.

1, 2, 7, 14, 31, 62, 179, 217, 358, 434, 1253, 2506, 5549, 11098, 38843

Step-4: Factors of 77694

List of positive integer factors of 77694 that divides 77686 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 563, 1126, 1689, 3378, 12949, 25898, 38847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77686 and 77694. The biggest common factor number is the GCF number.
So the greatest common factor 77686 and 77694 is 2.

Also check out the Least Common Multiple of 77686 and 77694