What is the Greatest Common Factor of 77670 and 77688?

Greatest common factor (GCF) of 77670 and 77688 is 18.

GCF(77670,77688) = 18

We will now calculate the prime factors of 77670 and 77688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77670 and 77688.

How to find the GCF of 77670 and 77688?

We will first find the prime factorization of 77670 and 77688. After we will calculate the factors of 77670 and 77688 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 77688

Prime factors of 77688 are 2, 3, 13, 83. Prime factorization of 77688 in exponential form is:

77688 = 2³ × 3² × 13¹ × 83¹

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 77688

List of positive integer factors of 77688 that divides 77670 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 83, 104, 117, 156, 166, 234, 249, 312, 332, 468, 498, 664, 747, 936, 996, 1079, 1494, 1992, 2158, 2988, 3237, 4316, 5976, 6474, 8632, 9711, 12948, 19422, 25896, 38844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77670 and 77688. The biggest common factor number is the GCF number.
So the greatest common factor 77670 and 77688 is 18.

Also check out the Least Common Multiple of 77670 and 77688