Greatest Common Factor of 67023 and 67027

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 67023, 67027 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67023 and 67027 is 1.

GCF(67023,67027) = 1

GCF of 67023 and 67027

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

GCF of:
and

Greatest Common Factor of 67023 and 67027

GCF of 67023 and 67027 is 1

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

Prime Factorization of 67027


97 67027
691 691
1

Prime factors of 67027 are 97,691. Prime factorization of 67027 in exponential form is:

67027 = 971×6911

∴ So by taking common prime factors GCF of 67023 and 67027 is 1

Greatest Common Factor of 67023 and 67027 by matching factors method

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

Factors of 67027

List of positive integer factors of 67027 that divides 67027 without a remainder.

1,97,691,67027

Greatest Common Factor

We found the factors and prime factorization of 67023 and 67027. The biggest common factor number is the GCF number.
So the greatest common factor 67023 and 67027 is 1.

Also check out the Least Common Multiple of 67023 and 67027

Properties of GCF 67023 and 67027

(i) The GCF of 67023 and 67027 is associative

GCF of 67023 and 67027 = GCF of 67027 and 67023

Frequently Asked Questions on GCF of 67023 and 67027

1. What is the GCF of 67023 and 67027?

Answer: GCF of 67023 and 67027 is 1.

2. 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.

3. What are the Factors of 67027?

Answer: Factors of 67027 are 1, 97, 691, 67027. There are 4 integers that are factors of 67027. The greatest factor of 67027 is 67027.

4. How to Find the GCF of 67023 and 67027?

Answer:

Greatest Common Factor of 67023 and 67027 = 1

Step 1: Find the prime factorization of 67023

67023 = 3 x 3 x 11 x 677

Step 2: Find the prime factorization of 67027

67027 = 97 x 691

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 67023 and 67027 is 1