What is the Greatest Common Factor of 5336 and 5344?
Greatest common factor (GCF) of 5336 and 5344 is 8.
GCF(5336,5344) = 8
We will now calculate the prime factors of 5336 and 5344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5336 and 5344.
How to find the GCF of 5336 and 5344?
We will first find the prime factorization of 5336 and 5344. After we will calculate the factors of 5336 and 5344 and find the biggest common factor number .
Step-1: Prime Factorization of 5336
Prime factors of 5336 are 2, 23, 29. Prime factorization of 5336 in exponential form is:
5336 = 23 × 231 × 291
Step-2: Prime Factorization of 5344
Prime factors of 5344 are 2, 167. Prime factorization of 5344 in exponential form is:
5344 = 25 × 1671
Step-3: Factors of 5336
List of positive integer factors of 5336 that divides 5336 without a remainder.
1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668
Step-4: Factors of 5344
List of positive integer factors of 5344 that divides 5336 without a remainder.
1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5336 and 5344. The biggest common factor number is the GCF number.
So the greatest common factor 5336 and 5344 is 8.
Also check out the Least Common Multiple of 5336 and 5344
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