What is the Greatest Common Factor of 6634 and 6649?
Greatest common factor (GCF) of 6634 and 6649 is 1.
GCF(6634,6649) = 1
We will now calculate the prime factors of 6634 and 6649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6634 and 6649.
How to find the GCF of 6634 and 6649?
We will first find the prime factorization of 6634 and 6649. After we will calculate the factors of 6634 and 6649 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 6649
Prime factors of 6649 are 61, 109. Prime factorization of 6649 in exponential form is:
6649 = 611 × 1091
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 6649
List of positive integer factors of 6649 that divides 6634 without a remainder.
1, 61, 109
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6634 and 6649. The biggest common factor number is the GCF number.
So the greatest common factor 6634 and 6649 is 1.
Also check out the Least Common Multiple of 6634 and 6649
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