What is the Greatest Common Factor of 13000 and 13009?
Greatest common factor (GCF) of 13000 and 13009 is 1.
GCF(13000,13009) = 1
We will now calculate the prime factors of 13000 and 13009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13000 and 13009.
How to find the GCF of 13000 and 13009?
We will first find the prime factorization of 13000 and 13009. After we will calculate the factors of 13000 and 13009 and find the biggest common factor number .
Step-1: Prime Factorization of 13000
Prime factors of 13000 are 2, 5, 13. Prime factorization of 13000 in exponential form is:
13000 = 23 × 53 × 131
Step-2: Prime Factorization of 13009
Prime factors of 13009 are 13009. Prime factorization of 13009 in exponential form is:
13009 = 130091
Step-3: Factors of 13000
List of positive integer factors of 13000 that divides 13000 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 125, 130, 200, 250, 260, 325, 500, 520, 650, 1000, 1300, 1625, 2600, 3250, 6500
Step-4: Factors of 13009
List of positive integer factors of 13009 that divides 13000 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13000 and 13009. The biggest common factor number is the GCF number.
So the greatest common factor 13000 and 13009 is 1.
Also check out the Least Common Multiple of 13000 and 13009
Related Greatest Common Factors of 13000
- GCF of 13000 and 13004
- GCF of 13000 and 13005
- GCF of 13000 and 13006
- GCF of 13000 and 13007
- GCF of 13000 and 13008
- GCF of 13000 and 13009
- GCF of 13000 and 13010
- GCF of 13000 and 13011
- GCF of 13000 and 13012
- GCF of 13000 and 13013
- GCF of 13000 and 13014
- GCF of 13000 and 13015
- GCF of 13000 and 13016
- GCF of 13000 and 13017
- GCF of 13000 and 13018
- GCF of 13000 and 13019
- GCF of 13000 and 13020
Related Greatest Common Factors of 13009
- GCF of 13009 and 13013
- GCF of 13009 and 13014
- GCF of 13009 and 13015
- GCF of 13009 and 13016
- GCF of 13009 and 13017
- GCF of 13009 and 13018
- GCF of 13009 and 13019
- GCF of 13009 and 13020
- GCF of 13009 and 13021
- GCF of 13009 and 13022
- GCF of 13009 and 13023
- GCF of 13009 and 13024
- GCF of 13009 and 13025
- GCF of 13009 and 13026
- GCF of 13009 and 13027
- GCF of 13009 and 13028
- GCF of 13009 and 13029