Greatest Common Factor of 67022 and 67028

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 67022, 67028 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67022 and 67028 is 2.

GCF(67022,67028) = 2

GCF of 67022 and 67028

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

GCF of:
and

Greatest Common Factor of 67022 and 67028

GCF of 67022 and 67028 is 2

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

Prime Factorization of 67028


2 67028
2 33514
13 16757
1289 1289
1

Prime factors of 67028 are 2,13,1289. Prime factorization of 67028 in exponential form is:

67028 = 22×131×12891

∴ So by taking common prime factors GCF of 67022 and 67028 is 2

Greatest Common Factor of 67022 and 67028 by matching factors method

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

Factors of 67028

List of positive integer factors of 67028 that divides 67028 without a remainder.

1,2,4,13,26,52,1289,2578,5156,16757,33514,67028

Greatest Common Factor

We found the factors and prime factorization of 67022 and 67028. The biggest common factor number is the GCF number.
So the greatest common factor 67022 and 67028 is 2.

Also check out the Least Common Multiple of 67022 and 67028

Properties of GCF 67022 and 67028

(i) The GCF of 67022 and 67028 is associative

GCF of 67022 and 67028 = GCF of 67028 and 67022

Related Greatest Common Factor of 67022

Related Greatest Common Factor of 67028

Frequently Asked Questions on GCF of 67022 and 67028

1. What is the GCF of 67022 and 67028?

Answer: GCF of 67022 and 67028 is 2.

2. 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.

3. What are the Factors of 67028?

Answer: Factors of 67028 are 1, 2, 4, 13, 26, 52, 1289, 2578, 5156, 16757, 33514, 67028. There are 12 integers that are factors of 67028. The greatest factor of 67028 is 67028.

4. How to Find the GCF of 67022 and 67028?

Answer:

Greatest Common Factor of 67022 and 67028 = 2

Step 1: Find the prime factorization of 67022

67022 = 2 x 23 x 31 x 47

Step 2: Find the prime factorization of 67028

67028 = 2 x 2 x 13 x 1289

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 67022 and 67028 is 2