What is the Greatest Common Factor of 8799 and 8811?
Greatest common factor (GCF) of 8799 and 8811 is 3.
GCF(8799,8811) = 3
We will now calculate the prime factors of 8799 and 8811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8799 and 8811.
How to find the GCF of 8799 and 8811?
We will first find the prime factorization of 8799 and 8811. After we will calculate the factors of 8799 and 8811 and find the biggest common factor number .
Step-1: Prime Factorization of 8799
Prime factors of 8799 are 3, 7, 419. Prime factorization of 8799 in exponential form is:
8799 = 31 × 71 × 4191
Step-2: Prime Factorization of 8811
Prime factors of 8811 are 3, 11, 89. Prime factorization of 8811 in exponential form is:
8811 = 32 × 111 × 891
Step-3: Factors of 8799
List of positive integer factors of 8799 that divides 8799 without a remainder.
1, 3, 7, 21, 419, 1257, 2933
Step-4: Factors of 8811
List of positive integer factors of 8811 that divides 8799 without a remainder.
1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8799 and 8811. The biggest common factor number is the GCF number.
So the greatest common factor 8799 and 8811 is 3.
Also check out the Least Common Multiple of 8799 and 8811
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