What is the Greatest Common Factor of 802 and 822?
Greatest common factor (GCF) of 802 and 822 is 2.
GCF(802,822) = 2
We will now calculate the prime factors of 802 and 822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 802 and 822.
How to find the GCF of 802 and 822?
We will first find the prime factorization of 802 and 822. After we will calculate the factors of 802 and 822 and find the biggest common factor number .
Step-1: Prime Factorization of 802
Prime factors of 802 are 2, 401. Prime factorization of 802 in exponential form is:
802 = 21 × 4011
Step-2: Prime Factorization of 822
Prime factors of 822 are 2, 3, 137. Prime factorization of 822 in exponential form is:
822 = 21 × 31 × 1371
Step-3: Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1, 2, 401
Step-4: Factors of 822
List of positive integer factors of 822 that divides 802 without a remainder.
1, 2, 3, 6, 137, 274, 411
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 802 and 822. The biggest common factor number is the GCF number.
So the greatest common factor 802 and 822 is 2.
Also check out the Least Common Multiple of 802 and 822
Related Greatest Common Factors of 802
- GCF of 802 and 806
- GCF of 802 and 807
- GCF of 802 and 808
- GCF of 802 and 809
- GCF of 802 and 810
- GCF of 802 and 811
- GCF of 802 and 812
- GCF of 802 and 813
- GCF of 802 and 814
- GCF of 802 and 815
- GCF of 802 and 816
- GCF of 802 and 817
- GCF of 802 and 818
- GCF of 802 and 819
- GCF of 802 and 820
- GCF of 802 and 821
- GCF of 802 and 822
Related Greatest Common Factors of 822
- GCF of 822 and 826
- GCF of 822 and 827
- GCF of 822 and 828
- GCF of 822 and 829
- GCF of 822 and 830
- GCF of 822 and 831
- GCF of 822 and 832
- GCF of 822 and 833
- GCF of 822 and 834
- GCF of 822 and 835
- GCF of 822 and 836
- GCF of 822 and 837
- GCF of 822 and 838
- GCF of 822 and 839
- GCF of 822 and 840
- GCF of 822 and 841
- GCF of 822 and 842