What is the Greatest Common Factor of 28659 and 28666?
Greatest common factor (GCF) of 28659 and 28666 is 1.
GCF(28659,28666) = 1
We will now calculate the prime factors of 28659 and 28666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28659 and 28666.
How to find the GCF of 28659 and 28666?
We will first find the prime factorization of 28659 and 28666. After we will calculate the factors of 28659 and 28666 and find the biggest common factor number .
Step-1: Prime Factorization of 28659
Prime factors of 28659 are 3, 41, 233. Prime factorization of 28659 in exponential form is:
28659 = 31 × 411 × 2331
Step-2: Prime Factorization of 28666
Prime factors of 28666 are 2, 11, 1303. Prime factorization of 28666 in exponential form is:
28666 = 21 × 111 × 13031
Step-3: Factors of 28659
List of positive integer factors of 28659 that divides 28659 without a remainder.
1, 3, 41, 123, 233, 699, 9553
Step-4: Factors of 28666
List of positive integer factors of 28666 that divides 28659 without a remainder.
1, 2, 11, 22, 1303, 2606, 14333
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28659 and 28666. The biggest common factor number is the GCF number.
So the greatest common factor 28659 and 28666 is 1.
Also check out the Least Common Multiple of 28659 and 28666
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