Greatest Common Factor of 67000 and 67005

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 67000, 67005 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67000 and 67005 is 5.

GCF(67000,67005) = 5

GCF of 67000 and 67005

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

GCF of:
and

Greatest Common Factor of 67000 and 67005

GCF of 67000 and 67005 is 5

Prime Factorization of 67000


2 67000
2 33500
2 16750
5 8375
5 1675
5 335
67 67
1

Prime factors of 67000 are 2,5,67. Prime factorization of 67000 in exponential form is:

67000 = 23×53×671

Prime Factorization of 67005


3 67005
3 22335
5 7445
1489 1489
1

Prime factors of 67005 are 3,5,1489. Prime factorization of 67005 in exponential form is:

67005 = 32×51×14891

∴ So by taking common prime factors GCF of 67000 and 67005 is 5

Greatest Common Factor of 67000 and 67005 by matching factors method

Factors of 67000

List of positive integer factors of 67000 that divides 67000 without a remainder.

1,2,4,5,8,10,20,25,40,50,67,100,125,134,200,250,268,335,500,536,670,1000,1340,1675,2680,3350,6700,8375,13400,16750,33500,67000

Factors of 67005

List of positive integer factors of 67005 that divides 67005 without a remainder.

1,3,5,9,15,45,1489,4467,7445,13401,22335,67005

Greatest Common Factor

We found the factors and prime factorization of 67000 and 67005. The biggest common factor number is the GCF number.
So the greatest common factor 67000 and 67005 is 5.

Also check out the Least Common Multiple of 67000 and 67005

Properties of GCF 67000 and 67005

(i) The GCF of 67000 and 67005 is associative

GCF of 67000 and 67005 = GCF of 67005 and 67000

Related Greatest Common Factor of 67000

Related Greatest Common Factor of 67005

Frequently Asked Questions on GCF of 67000 and 67005

1. What is the GCF of 67000 and 67005?

Answer: GCF of 67000 and 67005 is 5.

2. What are the Factors of 67000?

Answer: Factors of 67000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 125, 134, 200, 250, 268, 335, 500, 536, 670, 1000, 1340, 1675, 2680, 3350, 6700, 8375, 13400, 16750, 33500, 67000. There are 32 integers that are factors of 67000. The greatest factor of 67000 is 67000.

3. What are the Factors of 67005?

Answer: Factors of 67005 are 1, 3, 5, 9, 15, 45, 1489, 4467, 7445, 13401, 22335, 67005. There are 12 integers that are factors of 67005. The greatest factor of 67005 is 67005.

4. How to Find the GCF of 67000 and 67005?

Answer:

Greatest Common Factor of 67000 and 67005 = 5

Step 1: Find the prime factorization of 67000

67000 = 2 x 2 x 2 x 5 x 5 x 5 x 67

Step 2: Find the prime factorization of 67005

67005 = 3 x 3 x 5 x 1489

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

GCF = 5

Step 4: Therefore, the greatest common factor of 67000 and 67005 is 5