What is the Greatest Common Factor of 77679 and 77686?

Greatest common factor (GCF) of 77679 and 77686 is 7.

GCF(77679,77686) = 7

We will now calculate the prime factors of 77679 and 77686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77679 and 77686.

How to find the GCF of 77679 and 77686?

We will first find the prime factorization of 77679 and 77686. After we will calculate the factors of 77679 and 77686 and find the biggest common factor number .

Step-1: Prime Factorization of 77679

Prime factors of 77679 are 3, 7, 137. Prime factorization of 77679 in exponential form is:

77679 = 3⁴ × 7¹ × 137¹

Step-2: 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-3: Factors of 77679

List of positive integer factors of 77679 that divides 77679 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 137, 189, 411, 567, 959, 1233, 2877, 3699, 8631, 11097, 25893

Step-4: Factors of 77686

List of positive integer factors of 77686 that divides 77679 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77679 and 77686. The biggest common factor number is the GCF number.
So the greatest common factor 77679 and 77686 is 7.

Also check out the Least Common Multiple of 77679 and 77686