Greatest Common Factor of 67012 and 67017

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 67012, 67017 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67012 and 67017 is 1.

GCF(67012,67017) = 1

GCF of 67012 and 67017

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

GCF of:
and

Greatest Common Factor of 67012 and 67017

GCF of 67012 and 67017 is 1

Prime Factorization of 67012


2 67012
2 33506
11 16753
1523 1523
1

Prime factors of 67012 are 2,11,1523. Prime factorization of 67012 in exponential form is:

67012 = 22×111×15231

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

∴ So by taking common prime factors GCF of 67012 and 67017 is 1

Greatest Common Factor of 67012 and 67017 by matching factors method

Factors of 67012

List of positive integer factors of 67012 that divides 67012 without a remainder.

1,2,4,11,22,44,1523,3046,6092,16753,33506,67012

Factors of 67017

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

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

Greatest Common Factor

We found the factors and prime factorization of 67012 and 67017. The biggest common factor number is the GCF number.
So the greatest common factor 67012 and 67017 is 1.

Also check out the Least Common Multiple of 67012 and 67017

Properties of GCF 67012 and 67017

(i) The GCF of 67012 and 67017 is associative

GCF of 67012 and 67017 = GCF of 67017 and 67012

Related Greatest Common Factor of 67012

Related Greatest Common Factor of 67017

Frequently Asked Questions on GCF of 67012 and 67017

1. What is the GCF of 67012 and 67017?

Answer: GCF of 67012 and 67017 is 1.

2. What are the Factors of 67012?

Answer: Factors of 67012 are 1, 2, 4, 11, 22, 44, 1523, 3046, 6092, 16753, 33506, 67012. There are 12 integers that are factors of 67012. The greatest factor of 67012 is 67012.

3. 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.

4. How to Find the GCF of 67012 and 67017?

Answer:

Greatest Common Factor of 67012 and 67017 = 1

Step 1: Find the prime factorization of 67012

67012 = 2 x 2 x 11 x 1523

Step 2: Find the prime factorization of 67017

67017 = 3 x 89 x 251

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 67012 and 67017 is 1