Greatest Common Factor of 67000 and 67004

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, 67004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67000 and 67004 is 4.

GCF(67000,67004) = 4

GCF of 67000 and 67004

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

GCF of:
and

Greatest Common Factor of 67000 and 67004

GCF of 67000 and 67004 is 4

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 67004


2 67004
2 33502
7 16751
2393 2393
1

Prime factors of 67004 are 2,7,2393. Prime factorization of 67004 in exponential form is:

67004 = 22×71×23931

∴ So by taking common prime factors GCF of 67000 and 67004 is 4

Greatest Common Factor of 67000 and 67004 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 67004

List of positive integer factors of 67004 that divides 67004 without a remainder.

1,2,4,7,14,28,2393,4786,9572,16751,33502,67004

Greatest Common Factor

We found the factors and prime factorization of 67000 and 67004. The biggest common factor number is the GCF number.
So the greatest common factor 67000 and 67004 is 4.

Also check out the Least Common Multiple of 67000 and 67004

Properties of GCF 67000 and 67004

(i) The GCF of 67000 and 67004 is associative

GCF of 67000 and 67004 = GCF of 67004 and 67000

Related Greatest Common Factor of 67000

Related Greatest Common Factor of 67004

Frequently Asked Questions on GCF of 67000 and 67004

1. What is the GCF of 67000 and 67004?

Answer: GCF of 67000 and 67004 is 4.

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 67004?

Answer: Factors of 67004 are 1, 2, 4, 7, 14, 28, 2393, 4786, 9572, 16751, 33502, 67004. There are 12 integers that are factors of 67004. The greatest factor of 67004 is 67004.

4. How to Find the GCF of 67000 and 67004?

Answer:

Greatest Common Factor of 67000 and 67004 = 4

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 67004

67004 = 2 x 2 x 7 x 2393

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 67000 and 67004 is 4