What is the Greatest Common Factor of 77679 and 77689?

Greatest common factor (GCF) of 77679 and 77689 is 1.

GCF(77679,77689) = 1

We will now calculate the prime factors of 77679 and 77689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77679 and 77689.

How to find the GCF of 77679 and 77689?

We will first find the prime factorization of 77679 and 77689. After we will calculate the factors of 77679 and 77689 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 77689

Prime factors of 77689 are 77689. Prime factorization of 77689 in exponential form is:

77689 = 77689¹

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 77689

List of positive integer factors of 77689 that divides 77679 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77679 and 77689. The biggest common factor number is the GCF number.
So the greatest common factor 77679 and 77689 is 1.

Also check out the Least Common Multiple of 77679 and 77689