What is the Greatest Common Factor of 77670 and 77679?

Greatest common factor (GCF) of 77670 and 77679 is 9.

GCF(77670,77679) = 9

We will now calculate the prime factors of 77670 and 77679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77670 and 77679.

How to find the GCF of 77670 and 77679?

We will first find the prime factorization of 77670 and 77679. After we will calculate the factors of 77670 and 77679 and find the biggest common factor number .

Step-1: Prime Factorization of 77670

Prime factors of 77670 are 2, 3, 5, 863. Prime factorization of 77670 in exponential form is:

77670 = 2¹ × 3² × 5¹ × 863¹

Step-2: 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-3: Factors of 77670

List of positive integer factors of 77670 that divides 77670 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 863, 1726, 2589, 4315, 5178, 7767, 8630, 12945, 15534, 25890, 38835

Step-4: Factors of 77679

List of positive integer factors of 77679 that divides 77670 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77670 and 77679. The biggest common factor number is the GCF number.
So the greatest common factor 77670 and 77679 is 9.

Also check out the Least Common Multiple of 77670 and 77679