What is the Greatest Common Factor of 6338 and 6358?
Greatest common factor (GCF) of 6338 and 6358 is 2.
GCF(6338,6358) = 2
We will now calculate the prime factors of 6338 and 6358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6338 and 6358.
How to find the GCF of 6338 and 6358?
We will first find the prime factorization of 6338 and 6358. After we will calculate the factors of 6338 and 6358 and find the biggest common factor number .
Step-1: Prime Factorization of 6338
Prime factors of 6338 are 2, 3169. Prime factorization of 6338 in exponential form is:
6338 = 21 × 31691
Step-2: Prime Factorization of 6358
Prime factors of 6358 are 2, 11, 17. Prime factorization of 6358 in exponential form is:
6358 = 21 × 111 × 172
Step-3: Factors of 6338
List of positive integer factors of 6338 that divides 6338 without a remainder.
1, 2, 3169
Step-4: Factors of 6358
List of positive integer factors of 6358 that divides 6338 without a remainder.
1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6338 and 6358. The biggest common factor number is the GCF number.
So the greatest common factor 6338 and 6358 is 2.
Also check out the Least Common Multiple of 6338 and 6358
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