What is the Greatest Common Factor of 77688 and 77704?

Greatest common factor (GCF) of 77688 and 77704 is 8.

GCF(77688,77704) = 8

We will now calculate the prime factors of 77688 and 77704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77688 and 77704.

How to find the GCF of 77688 and 77704?

We will first find the prime factorization of 77688 and 77704. After we will calculate the factors of 77688 and 77704 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 77704

Prime factors of 77704 are 2, 11, 883. Prime factorization of 77704 in exponential form is:

77704 = 2³ × 11¹ × 883¹

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 77704

List of positive integer factors of 77704 that divides 77688 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 883, 1766, 3532, 7064, 9713, 19426, 38852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77688 and 77704. The biggest common factor number is the GCF number.
So the greatest common factor 77688 and 77704 is 8.

Also check out the Least Common Multiple of 77688 and 77704