What is the Greatest Common Factor of 77016 and 77031?

Greatest common factor (GCF) of 77016 and 77031 is 3.

GCF(77016,77031) = 3

We will now calculate the prime factors of 77016 and 77031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77016 and 77031.

How to find the GCF of 77016 and 77031?

We will first find the prime factorization of 77016 and 77031. After we will calculate the factors of 77016 and 77031 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77031

Prime factors of 77031 are 3, 317. Prime factorization of 77031 in exponential form is:

77031 = 3⁵ × 317¹

Step-3: Factors of 77016

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

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

Step-4: Factors of 77031

List of positive integer factors of 77031 that divides 77016 without a remainder.

1, 3, 9, 27, 81, 243, 317, 951, 2853, 8559, 25677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77016 and 77031. The biggest common factor number is the GCF number.
So the greatest common factor 77016 and 77031 is 3.

Also check out the Least Common Multiple of 77016 and 77031