What is the Greatest Common Factor of 10366 and 10375?
Greatest common factor (GCF) of 10366 and 10375 is 1.
GCF(10366,10375) = 1
We will now calculate the prime factors of 10366 and 10375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10366 and 10375.
How to find the GCF of 10366 and 10375?
We will first find the prime factorization of 10366 and 10375. After we will calculate the factors of 10366 and 10375 and find the biggest common factor number .
Step-1: Prime Factorization of 10366
Prime factors of 10366 are 2, 71, 73. Prime factorization of 10366 in exponential form is:
10366 = 21 × 711 × 731
Step-2: Prime Factorization of 10375
Prime factors of 10375 are 5, 83. Prime factorization of 10375 in exponential form is:
10375 = 53 × 831
Step-3: Factors of 10366
List of positive integer factors of 10366 that divides 10366 without a remainder.
1, 2, 71, 73, 142, 146, 5183
Step-4: Factors of 10375
List of positive integer factors of 10375 that divides 10366 without a remainder.
1, 5, 25, 83, 125, 415, 2075
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10366 and 10375. The biggest common factor number is the GCF number.
So the greatest common factor 10366 and 10375 is 1.
Also check out the Least Common Multiple of 10366 and 10375
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