What is the Greatest Common Factor of 5359 and 5375?
Greatest common factor (GCF) of 5359 and 5375 is 1.
GCF(5359,5375) = 1
We will now calculate the prime factors of 5359 and 5375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5359 and 5375.
How to find the GCF of 5359 and 5375?
We will first find the prime factorization of 5359 and 5375. After we will calculate the factors of 5359 and 5375 and find the biggest common factor number .
Step-1: Prime Factorization of 5359
Prime factors of 5359 are 23, 233. Prime factorization of 5359 in exponential form is:
5359 = 231 × 2331
Step-2: Prime Factorization of 5375
Prime factors of 5375 are 5, 43. Prime factorization of 5375 in exponential form is:
5375 = 53 × 431
Step-3: Factors of 5359
List of positive integer factors of 5359 that divides 5359 without a remainder.
1, 23, 233
Step-4: Factors of 5375
List of positive integer factors of 5375 that divides 5359 without a remainder.
1, 5, 25, 43, 125, 215, 1075
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5359 and 5375. The biggest common factor number is the GCF number.
So the greatest common factor 5359 and 5375 is 1.
Also check out the Least Common Multiple of 5359 and 5375
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