What is the Greatest Common Factor of 13989 and 14008?
Greatest common factor (GCF) of 13989 and 14008 is 1.
GCF(13989,14008) = 1
We will now calculate the prime factors of 13989 and 14008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13989 and 14008.
How to find the GCF of 13989 and 14008?
We will first find the prime factorization of 13989 and 14008. After we will calculate the factors of 13989 and 14008 and find the biggest common factor number .
Step-1: Prime Factorization of 13989
Prime factors of 13989 are 3, 4663. Prime factorization of 13989 in exponential form is:
13989 = 31 × 46631
Step-2: Prime Factorization of 14008
Prime factors of 14008 are 2, 17, 103. Prime factorization of 14008 in exponential form is:
14008 = 23 × 171 × 1031
Step-3: Factors of 13989
List of positive integer factors of 13989 that divides 13989 without a remainder.
1, 3, 4663
Step-4: Factors of 14008
List of positive integer factors of 14008 that divides 13989 without a remainder.
1, 2, 4, 8, 17, 34, 68, 103, 136, 206, 412, 824, 1751, 3502, 7004
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13989 and 14008. The biggest common factor number is the GCF number.
So the greatest common factor 13989 and 14008 is 1.
Also check out the Least Common Multiple of 13989 and 14008
Related Greatest Common Factors of 13989
- GCF of 13989 and 13993
- GCF of 13989 and 13994
- GCF of 13989 and 13995
- GCF of 13989 and 13996
- GCF of 13989 and 13997
- GCF of 13989 and 13998
- GCF of 13989 and 13999
- GCF of 13989 and 14000
- GCF of 13989 and 14001
- GCF of 13989 and 14002
- GCF of 13989 and 14003
- GCF of 13989 and 14004
- GCF of 13989 and 14005
- GCF of 13989 and 14006
- GCF of 13989 and 14007
- GCF of 13989 and 14008
- GCF of 13989 and 14009
Related Greatest Common Factors of 14008
- GCF of 14008 and 14012
- GCF of 14008 and 14013
- GCF of 14008 and 14014
- GCF of 14008 and 14015
- GCF of 14008 and 14016
- GCF of 14008 and 14017
- GCF of 14008 and 14018
- GCF of 14008 and 14019
- GCF of 14008 and 14020
- GCF of 14008 and 14021
- GCF of 14008 and 14022
- GCF of 14008 and 14023
- GCF of 14008 and 14024
- GCF of 14008 and 14025
- GCF of 14008 and 14026
- GCF of 14008 and 14027
- GCF of 14008 and 14028