What is the Greatest Common Factor of 6634 and 6647?
Greatest common factor (GCF) of 6634 and 6647 is 1.
GCF(6634,6647) = 1
We will now calculate the prime factors of 6634 and 6647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6634 and 6647.
How to find the GCF of 6634 and 6647?
We will first find the prime factorization of 6634 and 6647. After we will calculate the factors of 6634 and 6647 and find the biggest common factor number .
Step-1: Prime Factorization of 6634
Prime factors of 6634 are 2, 31, 107. Prime factorization of 6634 in exponential form is:
6634 = 21 × 311 × 1071
Step-2: Prime Factorization of 6647
Prime factors of 6647 are 17, 23. Prime factorization of 6647 in exponential form is:
6647 = 172 × 231
Step-3: Factors of 6634
List of positive integer factors of 6634 that divides 6634 without a remainder.
1, 2, 31, 62, 107, 214, 3317
Step-4: Factors of 6647
List of positive integer factors of 6647 that divides 6634 without a remainder.
1, 17, 23, 289, 391
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6634 and 6647. The biggest common factor number is the GCF number.
So the greatest common factor 6634 and 6647 is 1.
Also check out the Least Common Multiple of 6634 and 6647
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