What is the Greatest Common Factor of 5344 and 5348?
Greatest common factor (GCF) of 5344 and 5348 is 4.
GCF(5344,5348) = 4
We will now calculate the prime factors of 5344 and 5348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5344 and 5348.
How to find the GCF of 5344 and 5348?
We will first find the prime factorization of 5344 and 5348. After we will calculate the factors of 5344 and 5348 and find the biggest common factor number .
Step-1: Prime Factorization of 5344
Prime factors of 5344 are 2, 167. Prime factorization of 5344 in exponential form is:
5344 = 25 × 1671
Step-2: Prime Factorization of 5348
Prime factors of 5348 are 2, 7, 191. Prime factorization of 5348 in exponential form is:
5348 = 22 × 71 × 1911
Step-3: Factors of 5344
List of positive integer factors of 5344 that divides 5344 without a remainder.
1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672
Step-4: Factors of 5348
List of positive integer factors of 5348 that divides 5344 without a remainder.
1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5344 and 5348. The biggest common factor number is the GCF number.
So the greatest common factor 5344 and 5348 is 4.
Also check out the Least Common Multiple of 5344 and 5348
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