What is the Greatest Common Factor of 2800 and 2817?
Greatest common factor (GCF) of 2800 and 2817 is 1.
GCF(2800,2817) = 1
We will now calculate the prime factors of 2800 and 2817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2800 and 2817.
How to find the GCF of 2800 and 2817?
We will first find the prime factorization of 2800 and 2817. After we will calculate the factors of 2800 and 2817 and find the biggest common factor number .
Step-1: Prime Factorization of 2800
Prime factors of 2800 are 2, 5, 7. Prime factorization of 2800 in exponential form is:
2800 = 24 × 52 × 71
Step-2: Prime Factorization of 2817
Prime factors of 2817 are 3, 313. Prime factorization of 2817 in exponential form is:
2817 = 32 × 3131
Step-3: Factors of 2800
List of positive integer factors of 2800 that divides 2800 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400
Step-4: Factors of 2817
List of positive integer factors of 2817 that divides 2800 without a remainder.
1, 3, 9, 313, 939
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2800 and 2817. The biggest common factor number is the GCF number.
So the greatest common factor 2800 and 2817 is 1.
Also check out the Least Common Multiple of 2800 and 2817
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