What is the Greatest Common Factor of 782 and 796?
Greatest common factor (GCF) of 782 and 796 is 2.
GCF(782,796) = 2
We will now calculate the prime factors of 782 and 796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 782 and 796.
How to find the GCF of 782 and 796?
We will first find the prime factorization of 782 and 796. After we will calculate the factors of 782 and 796 and find the biggest common factor number .
Step-1: Prime Factorization of 782
Prime factors of 782 are 2, 17, 23. Prime factorization of 782 in exponential form is:
782 = 21 × 171 × 231
Step-2: Prime Factorization of 796
Prime factors of 796 are 2, 199. Prime factorization of 796 in exponential form is:
796 = 22 × 1991
Step-3: Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391
Step-4: Factors of 796
List of positive integer factors of 796 that divides 782 without a remainder.
1, 2, 4, 199, 398
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 782 and 796. The biggest common factor number is the GCF number.
So the greatest common factor 782 and 796 is 2.
Also check out the Least Common Multiple of 782 and 796
Related Greatest Common Factors of 782
- GCF of 782 and 786
- GCF of 782 and 787
- GCF of 782 and 788
- GCF of 782 and 789
- GCF of 782 and 790
- GCF of 782 and 791
- GCF of 782 and 792
- GCF of 782 and 793
- GCF of 782 and 794
- GCF of 782 and 795
- GCF of 782 and 796
- GCF of 782 and 797
- GCF of 782 and 798
- GCF of 782 and 799
- GCF of 782 and 800
- GCF of 782 and 801
- GCF of 782 and 802
Related Greatest Common Factors of 796
- GCF of 796 and 800
- GCF of 796 and 801
- GCF of 796 and 802
- GCF of 796 and 803
- GCF of 796 and 804
- GCF of 796 and 805
- GCF of 796 and 806
- GCF of 796 and 807
- GCF of 796 and 808
- GCF of 796 and 809
- GCF of 796 and 810
- GCF of 796 and 811
- GCF of 796 and 812
- GCF of 796 and 813
- GCF of 796 and 814
- GCF of 796 and 815
- GCF of 796 and 816