Greatest Common Factor of 29002 and 29009

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 29002, 29009 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 29002 and 29009 is 1.

GCF(29002,29009) = 1

GCF of 29002 and 29009

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

GCF of:
and

Greatest Common Factor of 29002 and 29009

GCF of 29002 and 29009 is 1

Prime Factorization of 29002


2 29002
17 14501
853 853
1

Prime factors of 29002 are 2,17,853. Prime factorization of 29002 in exponential form is:

29002 = 21×171×8531

Prime Factorization of 29009


29009 29009
1

Prime factors of 29009 are 29009. Prime factorization of 29009 in exponential form is:

29009 = 290091

∴ So by taking common prime factors GCF of 29002 and 29009 is 1

Greatest Common Factor of 29002 and 29009 by matching factors method

Factors of 29002

List of positive integer factors of 29002 that divides 29002 without a remainder.

1,2,17,34,853,1706,14501,29002

Factors of 29009

List of positive integer factors of 29009 that divides 29009 without a remainder.

1,29009

Greatest Common Factor

We found the factors and prime factorization of 29002 and 29009. The biggest common factor number is the GCF number.
So the greatest common factor 29002 and 29009 is 1.

Also check out the Least Common Multiple of 29002 and 29009

Properties of GCF 29002 and 29009

(i) The GCF of 29002 and 29009 is associative

GCF of 29002 and 29009 = GCF of 29009 and 29002

Related Greatest Common Factor of 29002

Related Greatest Common Factor of 29009

Frequently Asked Questions on GCF of 29002 and 29009

1. What is the GCF of 29002 and 29009?

Answer: GCF of 29002 and 29009 is 1.

2. What are the Factors of 29002?

Answer: Factors of 29002 are 1, 2, 17, 34, 853, 1706, 14501, 29002. There are 8 integers that are factors of 29002. The greatest factor of 29002 is 29002.

3. What are the Factors of 29009?

Answer: Factors of 29009 are 1, 29009. There are 2 integers that are factors of 29009. The greatest factor of 29009 is 29009.

4. How to Find the GCF of 29002 and 29009?

Answer:

Greatest Common Factor of 29002 and 29009 = 1

Step 1: Find the prime factorization of 29002

29002 = 2 x 17 x 853

Step 2: Find the prime factorization of 29009

29009 = 29009

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 29002 and 29009 is 1