What is the Greatest Common Factor of 13947 and 13965?
Greatest common factor (GCF) of 13947 and 13965 is 3.
GCF(13947,13965) = 3
We will now calculate the prime factors of 13947 and 13965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13947 and 13965.
How to find the GCF of 13947 and 13965?
We will first find the prime factorization of 13947 and 13965. After we will calculate the factors of 13947 and 13965 and find the biggest common factor number .
Step-1: Prime Factorization of 13947
Prime factors of 13947 are 3, 4649. Prime factorization of 13947 in exponential form is:
13947 = 31 × 46491
Step-2: Prime Factorization of 13965
Prime factors of 13965 are 3, 5, 7, 19. Prime factorization of 13965 in exponential form is:
13965 = 31 × 51 × 72 × 191
Step-3: Factors of 13947
List of positive integer factors of 13947 that divides 13947 without a remainder.
1, 3, 4649
Step-4: Factors of 13965
List of positive integer factors of 13965 that divides 13947 without a remainder.
1, 3, 5, 7, 15, 19, 21, 35, 49, 57, 95, 105, 133, 147, 245, 285, 399, 665, 735, 931, 1995, 2793, 4655
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13947 and 13965. The biggest common factor number is the GCF number.
So the greatest common factor 13947 and 13965 is 3.
Also check out the Least Common Multiple of 13947 and 13965
Related Greatest Common Factors of 13947
- GCF of 13947 and 13951
- GCF of 13947 and 13952
- GCF of 13947 and 13953
- GCF of 13947 and 13954
- GCF of 13947 and 13955
- GCF of 13947 and 13956
- GCF of 13947 and 13957
- GCF of 13947 and 13958
- GCF of 13947 and 13959
- GCF of 13947 and 13960
- GCF of 13947 and 13961
- GCF of 13947 and 13962
- GCF of 13947 and 13963
- GCF of 13947 and 13964
- GCF of 13947 and 13965
- GCF of 13947 and 13966
- GCF of 13947 and 13967
Related Greatest Common Factors of 13965
- GCF of 13965 and 13969
- GCF of 13965 and 13970
- GCF of 13965 and 13971
- GCF of 13965 and 13972
- GCF of 13965 and 13973
- GCF of 13965 and 13974
- GCF of 13965 and 13975
- GCF of 13965 and 13976
- GCF of 13965 and 13977
- GCF of 13965 and 13978
- GCF of 13965 and 13979
- GCF of 13965 and 13980
- GCF of 13965 and 13981
- GCF of 13965 and 13982
- GCF of 13965 and 13983
- GCF of 13965 and 13984
- GCF of 13965 and 13985