What is the Greatest Common Factor of 67016 and 67022?

Greatest common factor (GCF) of 67016 and 67022 is 2.

GCF(67016,67022) = 2

We will now calculate the prime factors of 67016 and 67022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67016 and 67022.

How to find the GCF of 67016 and 67022?

We will first find the prime factorization of 67016 and 67022. After we will calculate the factors of 67016 and 67022 and find the biggest common factor number .

Step-1: Prime Factorization of 67016

Prime factors of 67016 are 2, 8377. Prime factorization of 67016 in exponential form is:

67016 = 2³ × 8377¹

Step-2: Prime Factorization of 67022

Prime factors of 67022 are 2, 23, 31, 47. Prime factorization of 67022 in exponential form is:

67022 = 2¹ × 23¹ × 31¹ × 47¹

Step-3: Factors of 67016

List of positive integer factors of 67016 that divides 67016 without a remainder.

1, 2, 4, 8, 8377, 16754, 33508

Step-4: Factors of 67022

List of positive integer factors of 67022 that divides 67016 without a remainder.

1, 2, 23, 31, 46, 47, 62, 94, 713, 1081, 1426, 1457, 2162, 2914, 33511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67016 and 67022. The biggest common factor number is the GCF number.
So the greatest common factor 67016 and 67022 is 2.

Also check out the Least Common Multiple of 67016 and 67022