What is the Greatest Common Factor of 77688 and 77706?

Greatest common factor (GCF) of 77688 and 77706 is 18.

GCF(77688,77706) = 18

We will now calculate the prime factors of 77688 and 77706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77688 and 77706.

How to find the GCF of 77688 and 77706?

We will first find the prime factorization of 77688 and 77706. After we will calculate the factors of 77688 and 77706 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 77706

Prime factors of 77706 are 2, 3, 1439. Prime factorization of 77706 in exponential form is:

77706 = 2¹ × 3³ × 1439¹

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 77706

List of positive integer factors of 77706 that divides 77688 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1439, 2878, 4317, 8634, 12951, 25902, 38853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77688 and 77706. The biggest common factor number is the GCF number.
So the greatest common factor 77688 and 77706 is 18.

Also check out the Least Common Multiple of 77688 and 77706