What is the Greatest Common Factor of 29735 and 29739?
Greatest common factor (GCF) of 29735 and 29739 is 1.
GCF(29735,29739) = 1
We will now calculate the prime factors of 29735 and 29739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29735 and 29739.
How to find the GCF of 29735 and 29739?
We will first find the prime factorization of 29735 and 29739. After we will calculate the factors of 29735 and 29739 and find the biggest common factor number .
Step-1: Prime Factorization of 29735
Prime factors of 29735 are 5, 19, 313. Prime factorization of 29735 in exponential form is:
29735 = 51 × 191 × 3131
Step-2: Prime Factorization of 29739
Prime factors of 29739 are 3, 23, 431. Prime factorization of 29739 in exponential form is:
29739 = 31 × 231 × 4311
Step-3: Factors of 29735
List of positive integer factors of 29735 that divides 29735 without a remainder.
1, 5, 19, 95, 313, 1565, 5947
Step-4: Factors of 29739
List of positive integer factors of 29739 that divides 29735 without a remainder.
1, 3, 23, 69, 431, 1293, 9913
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 29735 and 29739. The biggest common factor number is the GCF number.
So the greatest common factor 29735 and 29739 is 1.
Also check out the Least Common Multiple of 29735 and 29739
Related Greatest Common Factors of 29735
- GCF of 29735 and 29739
- GCF of 29735 and 29740
- GCF of 29735 and 29741
- GCF of 29735 and 29742
- GCF of 29735 and 29743
- GCF of 29735 and 29744
- GCF of 29735 and 29745
- GCF of 29735 and 29746
- GCF of 29735 and 29747
- GCF of 29735 and 29748
- GCF of 29735 and 29749
- GCF of 29735 and 29750
- GCF of 29735 and 29751
- GCF of 29735 and 29752
- GCF of 29735 and 29753
- GCF of 29735 and 29754
- GCF of 29735 and 29755
Related Greatest Common Factors of 29739
- GCF of 29739 and 29743
- GCF of 29739 and 29744
- GCF of 29739 and 29745
- GCF of 29739 and 29746
- GCF of 29739 and 29747
- GCF of 29739 and 29748
- GCF of 29739 and 29749
- GCF of 29739 and 29750
- GCF of 29739 and 29751
- GCF of 29739 and 29752
- GCF of 29739 and 29753
- GCF of 29739 and 29754
- GCF of 29739 and 29755
- GCF of 29739 and 29756
- GCF of 29739 and 29757
- GCF of 29739 and 29758
- GCF of 29739 and 29759