What is the Greatest Common Factor of 13705 and 13712?
Greatest common factor (GCF) of 13705 and 13712 is 1.
GCF(13705,13712) = 1
We will now calculate the prime factors of 13705 and 13712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13705 and 13712.
How to find the GCF of 13705 and 13712?
We will first find the prime factorization of 13705 and 13712. After we will calculate the factors of 13705 and 13712 and find the biggest common factor number .
Step-1: Prime Factorization of 13705
Prime factors of 13705 are 5, 2741. Prime factorization of 13705 in exponential form is:
13705 = 51 × 27411
Step-2: Prime Factorization of 13712
Prime factors of 13712 are 2, 857. Prime factorization of 13712 in exponential form is:
13712 = 24 × 8571
Step-3: Factors of 13705
List of positive integer factors of 13705 that divides 13705 without a remainder.
1, 5, 2741
Step-4: Factors of 13712
List of positive integer factors of 13712 that divides 13705 without a remainder.
1, 2, 4, 8, 16, 857, 1714, 3428, 6856
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13705 and 13712. The biggest common factor number is the GCF number.
So the greatest common factor 13705 and 13712 is 1.
Also check out the Least Common Multiple of 13705 and 13712
Related Greatest Common Factors of 13705
- GCF of 13705 and 13709
- GCF of 13705 and 13710
- GCF of 13705 and 13711
- GCF of 13705 and 13712
- GCF of 13705 and 13713
- GCF of 13705 and 13714
- GCF of 13705 and 13715
- GCF of 13705 and 13716
- GCF of 13705 and 13717
- GCF of 13705 and 13718
- GCF of 13705 and 13719
- GCF of 13705 and 13720
- GCF of 13705 and 13721
- GCF of 13705 and 13722
- GCF of 13705 and 13723
- GCF of 13705 and 13724
- GCF of 13705 and 13725
Related Greatest Common Factors of 13712
- GCF of 13712 and 13716
- GCF of 13712 and 13717
- GCF of 13712 and 13718
- GCF of 13712 and 13719
- GCF of 13712 and 13720
- GCF of 13712 and 13721
- GCF of 13712 and 13722
- GCF of 13712 and 13723
- GCF of 13712 and 13724
- GCF of 13712 and 13725
- GCF of 13712 and 13726
- GCF of 13712 and 13727
- GCF of 13712 and 13728
- GCF of 13712 and 13729
- GCF of 13712 and 13730
- GCF of 13712 and 13731
- GCF of 13712 and 13732