What is the Greatest Common Factor of 34131 and 34150?
Greatest common factor (GCF) of 34131 and 34150 is 1.
GCF(34131,34150) = 1
We will now calculate the prime factors of 34131 and 34150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34131 and 34150.
How to find the GCF of 34131 and 34150?
We will first find the prime factorization of 34131 and 34150. After we will calculate the factors of 34131 and 34150 and find the biggest common factor number .
Step-1: Prime Factorization of 34131
Prime factors of 34131 are 3, 31, 367. Prime factorization of 34131 in exponential form is:
34131 = 31 × 311 × 3671
Step-2: Prime Factorization of 34150
Prime factors of 34150 are 2, 5, 683. Prime factorization of 34150 in exponential form is:
34150 = 21 × 52 × 6831
Step-3: Factors of 34131
List of positive integer factors of 34131 that divides 34131 without a remainder.
1, 3, 31, 93, 367, 1101, 11377
Step-4: Factors of 34150
List of positive integer factors of 34150 that divides 34131 without a remainder.
1, 2, 5, 10, 25, 50, 683, 1366, 3415, 6830, 17075
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 34131 and 34150. The biggest common factor number is the GCF number.
So the greatest common factor 34131 and 34150 is 1.
Also check out the Least Common Multiple of 34131 and 34150
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