What is the Greatest Common Factor of 75298 and 75317?
Greatest common factor (GCF) of 75298 and 75317 is 1.
GCF(75298,75317) = 1
We will now calculate the prime factors of 75298 and 75317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75298 and 75317.
How to find the GCF of 75298 and 75317?
We will first find the prime factorization of 75298 and 75317. After we will calculate the factors of 75298 and 75317 and find the biggest common factor number .
Step-1: Prime Factorization of 75298
Prime factors of 75298 are 2, 37649. Prime factorization of 75298 in exponential form is:
75298 = 21 × 376491
Step-2: Prime Factorization of 75317
Prime factors of 75317 are 11, 41, 167. Prime factorization of 75317 in exponential form is:
75317 = 111 × 411 × 1671
Step-3: Factors of 75298
List of positive integer factors of 75298 that divides 75298 without a remainder.
1, 2, 37649
Step-4: Factors of 75317
List of positive integer factors of 75317 that divides 75298 without a remainder.
1, 11, 41, 167, 451, 1837, 6847
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 75298 and 75317. The biggest common factor number is the GCF number.
So the greatest common factor 75298 and 75317 is 1.
Also check out the Least Common Multiple of 75298 and 75317
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