What is the Greatest Common Factor of 785 and 789?
Greatest common factor (GCF) of 785 and 789 is 1.
GCF(785,789) = 1
We will now calculate the prime factors of 785 and 789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 785 and 789.
How to find the GCF of 785 and 789?
We will first find the prime factorization of 785 and 789. After we will calculate the factors of 785 and 789 and find the biggest common factor number .
Step-1: Prime Factorization of 785
Prime factors of 785 are 5, 157. Prime factorization of 785 in exponential form is:
785 = 51 × 1571
Step-2: Prime Factorization of 789
Prime factors of 789 are 3, 263. Prime factorization of 789 in exponential form is:
789 = 31 × 2631
Step-3: Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1, 5, 157
Step-4: Factors of 789
List of positive integer factors of 789 that divides 785 without a remainder.
1, 3, 263
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 785 and 789. The biggest common factor number is the GCF number.
So the greatest common factor 785 and 789 is 1.
Also check out the Least Common Multiple of 785 and 789
Related Greatest Common Factors of 785
- GCF of 785 and 789
- GCF of 785 and 790
- GCF of 785 and 791
- GCF of 785 and 792
- GCF of 785 and 793
- GCF of 785 and 794
- GCF of 785 and 795
- GCF of 785 and 796
- GCF of 785 and 797
- GCF of 785 and 798
- GCF of 785 and 799
- GCF of 785 and 800
- GCF of 785 and 801
- GCF of 785 and 802
- GCF of 785 and 803
- GCF of 785 and 804
- GCF of 785 and 805
Related Greatest Common Factors of 789
- GCF of 789 and 793
- GCF of 789 and 794
- GCF of 789 and 795
- GCF of 789 and 796
- GCF of 789 and 797
- GCF of 789 and 798
- GCF of 789 and 799
- GCF of 789 and 800
- GCF of 789 and 801
- GCF of 789 and 802
- GCF of 789 and 803
- GCF of 789 and 804
- GCF of 789 and 805
- GCF of 789 and 806
- GCF of 789 and 807
- GCF of 789 and 808
- GCF of 789 and 809