What is the Greatest Common Factor of 6349 and 6356?
Greatest common factor (GCF) of 6349 and 6356 is 7.
GCF(6349,6356) = 7
We will now calculate the prime factors of 6349 and 6356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6349 and 6356.
How to find the GCF of 6349 and 6356?
We will first find the prime factorization of 6349 and 6356. After we will calculate the factors of 6349 and 6356 and find the biggest common factor number .
Step-1: Prime Factorization of 6349
Prime factors of 6349 are 7, 907. Prime factorization of 6349 in exponential form is:
6349 = 71 × 9071
Step-2: Prime Factorization of 6356
Prime factors of 6356 are 2, 7, 227. Prime factorization of 6356 in exponential form is:
6356 = 22 × 71 × 2271
Step-3: Factors of 6349
List of positive integer factors of 6349 that divides 6349 without a remainder.
1, 7, 907
Step-4: Factors of 6356
List of positive integer factors of 6356 that divides 6349 without a remainder.
1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6349 and 6356. The biggest common factor number is the GCF number.
So the greatest common factor 6349 and 6356 is 7.
Also check out the Least Common Multiple of 6349 and 6356
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