What is the Greatest Common Factor of 804 and 814?
Greatest common factor (GCF) of 804 and 814 is 2.
GCF(804,814) = 2
We will now calculate the prime factors of 804 and 814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 804 and 814.
How to find the GCF of 804 and 814?
We will first find the prime factorization of 804 and 814. After we will calculate the factors of 804 and 814 and find the biggest common factor number .
Step-1: Prime Factorization of 804
Prime factors of 804 are 2, 3, 67. Prime factorization of 804 in exponential form is:
804 = 22 × 31 × 671
Step-2: Prime Factorization of 814
Prime factors of 814 are 2, 11, 37. Prime factorization of 814 in exponential form is:
814 = 21 × 111 × 371
Step-3: Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402
Step-4: Factors of 814
List of positive integer factors of 814 that divides 804 without a remainder.
1, 2, 11, 22, 37, 74, 407
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 804 and 814. The biggest common factor number is the GCF number.
So the greatest common factor 804 and 814 is 2.
Also check out the Least Common Multiple of 804 and 814
Related Greatest Common Factors of 804
- GCF of 804 and 808
- GCF of 804 and 809
- GCF of 804 and 810
- GCF of 804 and 811
- GCF of 804 and 812
- GCF of 804 and 813
- GCF of 804 and 814
- GCF of 804 and 815
- GCF of 804 and 816
- GCF of 804 and 817
- GCF of 804 and 818
- GCF of 804 and 819
- GCF of 804 and 820
- GCF of 804 and 821
- GCF of 804 and 822
- GCF of 804 and 823
- GCF of 804 and 824
Related Greatest Common Factors of 814
- GCF of 814 and 818
- GCF of 814 and 819
- GCF of 814 and 820
- GCF of 814 and 821
- GCF of 814 and 822
- GCF of 814 and 823
- GCF of 814 and 824
- GCF of 814 and 825
- GCF of 814 and 826
- GCF of 814 and 827
- GCF of 814 and 828
- GCF of 814 and 829
- GCF of 814 and 830
- GCF of 814 and 831
- GCF of 814 and 832
- GCF of 814 and 833
- GCF of 814 and 834