What is the Greatest Common Factor of 77688 and 77701?

Greatest common factor (GCF) of 77688 and 77701 is 13.

GCF(77688,77701) = 13

We will now calculate the prime factors of 77688 and 77701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77688 and 77701.

How to find the GCF of 77688 and 77701?

We will first find the prime factorization of 77688 and 77701. After we will calculate the factors of 77688 and 77701 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 77701

Prime factors of 77701 are 13, 43, 139. Prime factorization of 77701 in exponential form is:

77701 = 13¹ × 43¹ × 139¹

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 77701

List of positive integer factors of 77701 that divides 77688 without a remainder.

1, 13, 43, 139, 559, 1807, 5977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77688 and 77701. The biggest common factor number is the GCF number.
So the greatest common factor 77688 and 77701 is 13.

Also check out the Least Common Multiple of 77688 and 77701