Greatest Common Factor of 67017 and 67023

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 67017, 67023 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67017 and 67023 is 3.

GCF(67017,67023) = 3

GCF of 67017 and 67023

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

GCF of:
and

Greatest Common Factor of 67017 and 67023

GCF of 67017 and 67023 is 3

Prime Factorization of 67017


3 67017
89 22339
251 251
1

Prime factors of 67017 are 3,89,251. Prime factorization of 67017 in exponential form is:

67017 = 31×891×2511

Prime Factorization of 67023


3 67023
3 22341
11 7447
677 677
1

Prime factors of 67023 are 3,11,677. Prime factorization of 67023 in exponential form is:

67023 = 32×111×6771

∴ So by taking common prime factors GCF of 67017 and 67023 is 3

Greatest Common Factor of 67017 and 67023 by matching factors method

Factors of 67017

List of positive integer factors of 67017 that divides 67017 without a remainder.

1,3,89,251,267,753,22339,67017

Factors of 67023

List of positive integer factors of 67023 that divides 67023 without a remainder.

1,3,9,11,33,99,677,2031,6093,7447,22341,67023

Greatest Common Factor

We found the factors and prime factorization of 67017 and 67023. The biggest common factor number is the GCF number.
So the greatest common factor 67017 and 67023 is 3.

Also check out the Least Common Multiple of 67017 and 67023

Properties of GCF 67017 and 67023

(i) The GCF of 67017 and 67023 is associative

GCF of 67017 and 67023 = GCF of 67023 and 67017

Related Greatest Common Factor of 67017

Related Greatest Common Factor of 67023

Frequently Asked Questions on GCF of 67017 and 67023

1. What is the GCF of 67017 and 67023?

Answer: GCF of 67017 and 67023 is 3.

2. What are the Factors of 67017?

Answer: Factors of 67017 are 1, 3, 89, 251, 267, 753, 22339, 67017. There are 8 integers that are factors of 67017. The greatest factor of 67017 is 67017.

3. What are the Factors of 67023?

Answer: Factors of 67023 are 1, 3, 9, 11, 33, 99, 677, 2031, 6093, 7447, 22341, 67023. There are 12 integers that are factors of 67023. The greatest factor of 67023 is 67023.

4. How to Find the GCF of 67017 and 67023?

Answer:

Greatest Common Factor of 67017 and 67023 = 3

Step 1: Find the prime factorization of 67017

67017 = 3 x 89 x 251

Step 2: Find the prime factorization of 67023

67023 = 3 x 3 x 11 x 677

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

GCF = 3

Step 4: Therefore, the greatest common factor of 67017 and 67023 is 3