What is the Greatest Common Factor of 5329 and 5337?
Greatest common factor (GCF) of 5329 and 5337 is 1.
GCF(5329,5337) = 1
We will now calculate the prime factors of 5329 and 5337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5329 and 5337.
How to find the GCF of 5329 and 5337?
We will first find the prime factorization of 5329 and 5337. After we will calculate the factors of 5329 and 5337 and find the biggest common factor number .
Step-1: Prime Factorization of 5329
Prime factors of 5329 are 73. Prime factorization of 5329 in exponential form is:
5329 = 732
Step-2: Prime Factorization of 5337
Prime factors of 5337 are 3, 593. Prime factorization of 5337 in exponential form is:
5337 = 32 × 5931
Step-3: Factors of 5329
List of positive integer factors of 5329 that divides 5329 without a remainder.
1, 73
Step-4: Factors of 5337
List of positive integer factors of 5337 that divides 5329 without a remainder.
1, 3, 9, 593, 1779
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5329 and 5337. The biggest common factor number is the GCF number.
So the greatest common factor 5329 and 5337 is 1.
Also check out the Least Common Multiple of 5329 and 5337
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