What is the Greatest Common Factor of 77004 and 77016?

Greatest common factor (GCF) of 77004 and 77016 is 12.

GCF(77004,77016) = 12

We will now calculate the prime factors of 77004 and 77016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77004 and 77016.

How to find the GCF of 77004 and 77016?

We will first find the prime factorization of 77004 and 77016. After we will calculate the factors of 77004 and 77016 and find the biggest common factor number .

Step-1: Prime Factorization of 77004

Prime factors of 77004 are 2, 3, 23, 31. Prime factorization of 77004 in exponential form is:

77004 = 2² × 3³ × 23¹ × 31¹

Step-2: Prime Factorization of 77016

Prime factors of 77016 are 2, 3, 3209. Prime factorization of 77016 in exponential form is:

77016 = 2³ × 3¹ × 3209¹

Step-3: Factors of 77004

List of positive integer factors of 77004 that divides 77004 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 31, 36, 46, 54, 62, 69, 92, 93, 108, 124, 138, 186, 207, 276, 279, 372, 414, 558, 621, 713, 828, 837, 1116, 1242, 1426, 1674, 2139, 2484, 2852, 3348, 4278, 6417, 8556, 12834, 19251, 25668, 38502

Step-4: Factors of 77016

List of positive integer factors of 77016 that divides 77004 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3209, 6418, 9627, 12836, 19254, 25672, 38508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77004 and 77016. The biggest common factor number is the GCF number.
So the greatest common factor 77004 and 77016 is 12.

Also check out the Least Common Multiple of 77004 and 77016