Greatest Common Factor of 40008 and 40015

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 40008, 40015 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40008 and 40015 is 1.

GCF(40008,40015) = 1

GCF of 40008 and 40015

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

GCF of:
and

Greatest Common Factor of 40008 and 40015

GCF of 40008 and 40015 is 1

Prime Factorization of 40008


2 40008
2 20004
2 10002
3 5001
1667 1667
1

Prime factors of 40008 are 2,3,1667. Prime factorization of 40008 in exponential form is:

40008 = 23×31×16671

Prime Factorization of 40015


5 40015
53 8003
151 151
1

Prime factors of 40015 are 5,53,151. Prime factorization of 40015 in exponential form is:

40015 = 51×531×1511

∴ So by taking common prime factors GCF of 40008 and 40015 is 1

Greatest Common Factor of 40008 and 40015 by matching factors method

Factors of 40008

List of positive integer factors of 40008 that divides 40008 without a remainder.

1,2,3,4,6,8,12,24,1667,3334,5001,6668,10002,13336,20004,40008

Factors of 40015

List of positive integer factors of 40015 that divides 40015 without a remainder.

1,5,53,151,265,755,8003,40015

Greatest Common Factor

We found the factors and prime factorization of 40008 and 40015. The biggest common factor number is the GCF number.
So the greatest common factor 40008 and 40015 is 1.

Also check out the Least Common Multiple of 40008 and 40015

Properties of GCF 40008 and 40015

(i) The GCF of 40008 and 40015 is associative

GCF of 40008 and 40015 = GCF of 40015 and 40008

Frequently Asked Questions on GCF of 40008 and 40015

1. What is the GCF of 40008 and 40015?

Answer: GCF of 40008 and 40015 is 1.

2. What are the Factors of 40008?

Answer: Factors of 40008 are 1, 2, 3, 4, 6, 8, 12, 24, 1667, 3334, 5001, 6668, 10002, 13336, 20004, 40008. There are 16 integers that are factors of 40008. The greatest factor of 40008 is 40008.

3. What are the Factors of 40015?

Answer: Factors of 40015 are 1, 5, 53, 151, 265, 755, 8003, 40015. There are 8 integers that are factors of 40015. The greatest factor of 40015 is 40015.

4. How to Find the GCF of 40008 and 40015?

Answer:

Greatest Common Factor of 40008 and 40015 = 1

Step 1: Find the prime factorization of 40008

40008 = 2 x 2 x 2 x 3 x 1667

Step 2: Find the prime factorization of 40015

40015 = 5 x 53 x 151

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 40008 and 40015 is 1