What is the Greatest Common Factor of 800 and 808?
Greatest common factor (GCF) of 800 and 808 is 8.
GCF(800,808) = 8
We will now calculate the prime factors of 800 and 808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 800 and 808.
How to find the GCF of 800 and 808?
We will first find the prime factorization of 800 and 808. After we will calculate the factors of 800 and 808 and find the biggest common factor number .
Step-1: Prime Factorization of 800
Prime factors of 800 are 2, 5. Prime factorization of 800 in exponential form is:
800 = 25 × 52
Step-2: Prime Factorization of 808
Prime factors of 808 are 2, 101. Prime factorization of 808 in exponential form is:
808 = 23 × 1011
Step-3: Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400
Step-4: Factors of 808
List of positive integer factors of 808 that divides 800 without a remainder.
1, 2, 4, 8, 101, 202, 404
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 800 and 808. The biggest common factor number is the GCF number.
So the greatest common factor 800 and 808 is 8.
Also check out the Least Common Multiple of 800 and 808
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