What is the Greatest Common Factor of 77688 and 77708?

Greatest common factor (GCF) of 77688 and 77708 is 4.

GCF(77688,77708) = 4

We will now calculate the prime factors of 77688 and 77708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77688 and 77708.

How to find the GCF of 77688 and 77708?

We will first find the prime factorization of 77688 and 77708. After we will calculate the factors of 77688 and 77708 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77708

Prime factors of 77708 are 2, 19427. Prime factorization of 77708 in exponential form is:

77708 = 2² × 19427¹

Step-3: Factors of 77688

List of positive integer factors of 77688 that divides 77688 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

Step-4: Factors of 77708

List of positive integer factors of 77708 that divides 77688 without a remainder.

1, 2, 4, 19427, 38854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77688 and 77708. The biggest common factor number is the GCF number.
So the greatest common factor 77688 and 77708 is 4.

Also check out the Least Common Multiple of 77688 and 77708