Greatest Common Factor of 67016 and 67022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 67016, 67022 i.e. 2 largest integer by which both the numbers can be divided.

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

GCF(67016,67022) = 2

GCF of 67016 and 67022

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 67016 and 67022

GCF of 67016 and 67022 is 2

Prime Factorization of 67016


2 67016
2 33508
2 16754
8377 8377
1

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

67016 = 23×83771

Prime Factorization of 67022


2 67022
23 33511
31 1457
47 47
1

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

67022 = 21×231×311×471

∴ So by taking common prime factors GCF of 67016 and 67022 is 2

Greatest Common Factor of 67016 and 67022 by matching factors method

Factors of 67016

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

1,2,4,8,8377,16754,33508,67016

Factors of 67022

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

1,2,23,31,46,47,62,94,713,1081,1426,1457,2162,2914,33511,67022

Greatest Common Factor

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

Properties of GCF 67016 and 67022

(i) The GCF of 67016 and 67022 is associative

GCF of 67016 and 67022 = GCF of 67022 and 67016

Related Greatest Common Factor of 67016

Related Greatest Common Factor of 67022

Frequently Asked Questions on GCF of 67016 and 67022

1. What is the GCF of 67016 and 67022?

Answer: GCF of 67016 and 67022 is 2.

2. What are the Factors of 67016?

Answer: Factors of 67016 are 1, 2, 4, 8, 8377, 16754, 33508, 67016. There are 8 integers that are factors of 67016. The greatest factor of 67016 is 67016.

3. What are the Factors of 67022?

Answer: Factors of 67022 are 1, 2, 23, 31, 46, 47, 62, 94, 713, 1081, 1426, 1457, 2162, 2914, 33511, 67022. There are 16 integers that are factors of 67022. The greatest factor of 67022 is 67022.

4. How to Find the GCF of 67016 and 67022?

Answer:

Greatest Common Factor of 67016 and 67022 = 2

Step 1: Find the prime factorization of 67016

67016 = 2 x 2 x 2 x 8377

Step 2: Find the prime factorization of 67022

67022 = 2 x 23 x 31 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 67016 and 67022 is 2