What is the Greatest Common Factor of 13733 and 13740?
Greatest common factor (GCF) of 13733 and 13740 is 1.
GCF(13733,13740) = 1
We will now calculate the prime factors of 13733 and 13740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13733 and 13740.
How to find the GCF of 13733 and 13740?
We will first find the prime factorization of 13733 and 13740. After we will calculate the factors of 13733 and 13740 and find the biggest common factor number .
Step-1: Prime Factorization of 13733
Prime factors of 13733 are 31, 443. Prime factorization of 13733 in exponential form is:
13733 = 311 × 4431
Step-2: Prime Factorization of 13740
Prime factors of 13740 are 2, 3, 5, 229. Prime factorization of 13740 in exponential form is:
13740 = 22 × 31 × 51 × 2291
Step-3: Factors of 13733
List of positive integer factors of 13733 that divides 13733 without a remainder.
1, 31, 443
Step-4: Factors of 13740
List of positive integer factors of 13740 that divides 13733 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 229, 458, 687, 916, 1145, 1374, 2290, 2748, 3435, 4580, 6870
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13733 and 13740. The biggest common factor number is the GCF number.
So the greatest common factor 13733 and 13740 is 1.
Also check out the Least Common Multiple of 13733 and 13740
Related Greatest Common Factors of 13733
- GCF of 13733 and 13737
- GCF of 13733 and 13738
- GCF of 13733 and 13739
- GCF of 13733 and 13740
- GCF of 13733 and 13741
- GCF of 13733 and 13742
- GCF of 13733 and 13743
- GCF of 13733 and 13744
- GCF of 13733 and 13745
- GCF of 13733 and 13746
- GCF of 13733 and 13747
- GCF of 13733 and 13748
- GCF of 13733 and 13749
- GCF of 13733 and 13750
- GCF of 13733 and 13751
- GCF of 13733 and 13752
- GCF of 13733 and 13753
Related Greatest Common Factors of 13740
- GCF of 13740 and 13744
- GCF of 13740 and 13745
- GCF of 13740 and 13746
- GCF of 13740 and 13747
- GCF of 13740 and 13748
- GCF of 13740 and 13749
- GCF of 13740 and 13750
- GCF of 13740 and 13751
- GCF of 13740 and 13752
- GCF of 13740 and 13753
- GCF of 13740 and 13754
- GCF of 13740 and 13755
- GCF of 13740 and 13756
- GCF of 13740 and 13757
- GCF of 13740 and 13758
- GCF of 13740 and 13759
- GCF of 13740 and 13760