What is the Greatest Common Factor of 810 and 820?
Greatest common factor (GCF) of 810 and 820 is 10.
GCF(810,820) = 10
We will now calculate the prime factors of 810 and 820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 810 and 820.
How to find the GCF of 810 and 820?
We will first find the prime factorization of 810 and 820. After we will calculate the factors of 810 and 820 and find the biggest common factor number .
Step-1: Prime Factorization of 810
Prime factors of 810 are 2, 3, 5. Prime factorization of 810 in exponential form is:
810 = 21 × 34 × 51
Step-2: Prime Factorization of 820
Prime factors of 820 are 2, 5, 41. Prime factorization of 820 in exponential form is:
820 = 22 × 51 × 411
Step-3: Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405
Step-4: Factors of 820
List of positive integer factors of 820 that divides 810 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 810 and 820. The biggest common factor number is the GCF number.
So the greatest common factor 810 and 820 is 10.
Also check out the Least Common Multiple of 810 and 820
Related Greatest Common Factors of 810
- GCF of 810 and 814
- GCF of 810 and 815
- GCF of 810 and 816
- GCF of 810 and 817
- GCF of 810 and 818
- GCF of 810 and 819
- GCF of 810 and 820
- GCF of 810 and 821
- GCF of 810 and 822
- GCF of 810 and 823
- GCF of 810 and 824
- GCF of 810 and 825
- GCF of 810 and 826
- GCF of 810 and 827
- GCF of 810 and 828
- GCF of 810 and 829
- GCF of 810 and 830
Related Greatest Common Factors of 820
- GCF of 820 and 824
- GCF of 820 and 825
- GCF of 820 and 826
- GCF of 820 and 827
- GCF of 820 and 828
- GCF of 820 and 829
- GCF of 820 and 830
- GCF of 820 and 831
- GCF of 820 and 832
- GCF of 820 and 833
- GCF of 820 and 834
- GCF of 820 and 835
- GCF of 820 and 836
- GCF of 820 and 837
- GCF of 820 and 838
- GCF of 820 and 839
- GCF of 820 and 840