What is the Greatest Common Factor of 8658 and 8665?
Greatest common factor (GCF) of 8658 and 8665 is 1.
GCF(8658,8665) = 1
We will now calculate the prime factors of 8658 and 8665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8658 and 8665.
How to find the GCF of 8658 and 8665?
We will first find the prime factorization of 8658 and 8665. After we will calculate the factors of 8658 and 8665 and find the biggest common factor number .
Step-1: Prime Factorization of 8658
Prime factors of 8658 are 2, 3, 13, 37. Prime factorization of 8658 in exponential form is:
8658 = 21 × 32 × 131 × 371
Step-2: Prime Factorization of 8665
Prime factors of 8665 are 5, 1733. Prime factorization of 8665 in exponential form is:
8665 = 51 × 17331
Step-3: Factors of 8658
List of positive integer factors of 8658 that divides 8658 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329
Step-4: Factors of 8665
List of positive integer factors of 8665 that divides 8658 without a remainder.
1, 5, 1733
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8658 and 8665. The biggest common factor number is the GCF number.
So the greatest common factor 8658 and 8665 is 1.
Also check out the Least Common Multiple of 8658 and 8665
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