What is the Greatest Common Factor of 809 and 828?
Greatest common factor (GCF) of 809 and 828 is 1.
GCF(809,828) = 1
We will now calculate the prime factors of 809 and 828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 809 and 828.
How to find the GCF of 809 and 828?
We will first find the prime factorization of 809 and 828. After we will calculate the factors of 809 and 828 and find the biggest common factor number .
Step-1: Prime Factorization of 809
Prime factors of 809 are 809. Prime factorization of 809 in exponential form is:
809 = 8091
Step-2: Prime Factorization of 828
Prime factors of 828 are 2, 3, 23. Prime factorization of 828 in exponential form is:
828 = 22 × 32 × 231
Step-3: Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1
Step-4: Factors of 828
List of positive integer factors of 828 that divides 809 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 809 and 828. The biggest common factor number is the GCF number.
So the greatest common factor 809 and 828 is 1.
Also check out the Least Common Multiple of 809 and 828
Related Greatest Common Factors of 809
- GCF of 809 and 813
- GCF of 809 and 814
- GCF of 809 and 815
- GCF of 809 and 816
- GCF of 809 and 817
- GCF of 809 and 818
- GCF of 809 and 819
- GCF of 809 and 820
- GCF of 809 and 821
- GCF of 809 and 822
- GCF of 809 and 823
- GCF of 809 and 824
- GCF of 809 and 825
- GCF of 809 and 826
- GCF of 809 and 827
- GCF of 809 and 828
- GCF of 809 and 829
Related Greatest Common Factors of 828
- GCF of 828 and 832
- GCF of 828 and 833
- GCF of 828 and 834
- GCF of 828 and 835
- GCF of 828 and 836
- GCF of 828 and 837
- GCF of 828 and 838
- GCF of 828 and 839
- GCF of 828 and 840
- GCF of 828 and 841
- GCF of 828 and 842
- GCF of 828 and 843
- GCF of 828 and 844
- GCF of 828 and 845
- GCF of 828 and 846
- GCF of 828 and 847
- GCF of 828 and 848