What is the Greatest Common Factor of 2880 and 2899?
Greatest common factor (GCF) of 2880 and 2899 is 1.
GCF(2880,2899) = 1
We will now calculate the prime factors of 2880 and 2899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2880 and 2899.
How to find the GCF of 2880 and 2899?
We will first find the prime factorization of 2880 and 2899. After we will calculate the factors of 2880 and 2899 and find the biggest common factor number .
Step-1: Prime Factorization of 2880
Prime factors of 2880 are 2, 3, 5. Prime factorization of 2880 in exponential form is:
2880 = 26 × 32 × 51
Step-2: Prime Factorization of 2899
Prime factors of 2899 are 13, 223. Prime factorization of 2899 in exponential form is:
2899 = 131 × 2231
Step-3: Factors of 2880
List of positive integer factors of 2880 that divides 2880 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440
Step-4: Factors of 2899
List of positive integer factors of 2899 that divides 2880 without a remainder.
1, 13, 223
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2880 and 2899. The biggest common factor number is the GCF number.
So the greatest common factor 2880 and 2899 is 1.
Also check out the Least Common Multiple of 2880 and 2899
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