Greatest Common Factor of 67010 and 67015

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 67010, 67015 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67010 and 67015 is 5.

GCF(67010,67015) = 5

GCF of 67010 and 67015

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

GCF of:
and

Greatest Common Factor of 67010 and 67015

GCF of 67010 and 67015 is 5

Prime Factorization of 67010


2 67010
5 33505
6701 6701
1

Prime factors of 67010 are 2,5,6701. Prime factorization of 67010 in exponential form is:

67010 = 21×51×67011

Prime Factorization of 67015


5 67015
13 13403
1031 1031
1

Prime factors of 67015 are 5,13,1031. Prime factorization of 67015 in exponential form is:

67015 = 51×131×10311

∴ So by taking common prime factors GCF of 67010 and 67015 is 5

Greatest Common Factor of 67010 and 67015 by matching factors method

Factors of 67010

List of positive integer factors of 67010 that divides 67010 without a remainder.

1,2,5,10,6701,13402,33505,67010

Factors of 67015

List of positive integer factors of 67015 that divides 67015 without a remainder.

1,5,13,65,1031,5155,13403,67015

Greatest Common Factor

We found the factors and prime factorization of 67010 and 67015. The biggest common factor number is the GCF number.
So the greatest common factor 67010 and 67015 is 5.

Also check out the Least Common Multiple of 67010 and 67015

Properties of GCF 67010 and 67015

(i) The GCF of 67010 and 67015 is associative

GCF of 67010 and 67015 = GCF of 67015 and 67010

Related Greatest Common Factor of 67010

Related Greatest Common Factor of 67015

Frequently Asked Questions on GCF of 67010 and 67015

1. What is the GCF of 67010 and 67015?

Answer: GCF of 67010 and 67015 is 5.

2. What are the Factors of 67010?

Answer: Factors of 67010 are 1, 2, 5, 10, 6701, 13402, 33505, 67010. There are 8 integers that are factors of 67010. The greatest factor of 67010 is 67010.

3. What are the Factors of 67015?

Answer: Factors of 67015 are 1, 5, 13, 65, 1031, 5155, 13403, 67015. There are 8 integers that are factors of 67015. The greatest factor of 67015 is 67015.

4. How to Find the GCF of 67010 and 67015?

Answer:

Greatest Common Factor of 67010 and 67015 = 5

Step 1: Find the prime factorization of 67010

67010 = 2 x 5 x 6701

Step 2: Find the prime factorization of 67015

67015 = 5 x 13 x 1031

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 67010 and 67015 is 5