What is the Greatest Common Factor of 806 and 826?
Greatest common factor (GCF) of 806 and 826 is 2.
GCF(806,826) = 2
We will now calculate the prime factors of 806 and 826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 806 and 826.
How to find the GCF of 806 and 826?
We will first find the prime factorization of 806 and 826. After we will calculate the factors of 806 and 826 and find the biggest common factor number .
Step-1: Prime Factorization of 806
Prime factors of 806 are 2, 13, 31. Prime factorization of 806 in exponential form is:
806 = 21 × 131 × 311
Step-2: Prime Factorization of 826
Prime factors of 826 are 2, 7, 59. Prime factorization of 826 in exponential form is:
826 = 21 × 71 × 591
Step-3: Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403
Step-4: Factors of 826
List of positive integer factors of 826 that divides 806 without a remainder.
1, 2, 7, 14, 59, 118, 413
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 806 and 826. The biggest common factor number is the GCF number.
So the greatest common factor 806 and 826 is 2.
Also check out the Least Common Multiple of 806 and 826
Related Greatest Common Factors of 806
- GCF of 806 and 810
- GCF of 806 and 811
- GCF of 806 and 812
- GCF of 806 and 813
- GCF of 806 and 814
- GCF of 806 and 815
- GCF of 806 and 816
- GCF of 806 and 817
- GCF of 806 and 818
- GCF of 806 and 819
- GCF of 806 and 820
- GCF of 806 and 821
- GCF of 806 and 822
- GCF of 806 and 823
- GCF of 806 and 824
- GCF of 806 and 825
- GCF of 806 and 826
Related Greatest Common Factors of 826
- GCF of 826 and 830
- GCF of 826 and 831
- GCF of 826 and 832
- GCF of 826 and 833
- GCF of 826 and 834
- GCF of 826 and 835
- GCF of 826 and 836
- GCF of 826 and 837
- GCF of 826 and 838
- GCF of 826 and 839
- GCF of 826 and 840
- GCF of 826 and 841
- GCF of 826 and 842
- GCF of 826 and 843
- GCF of 826 and 844
- GCF of 826 and 845
- GCF of 826 and 846