What is the Greatest Common Factor of 18126 and 18140?
Greatest common factor (GCF) of 18126 and 18140 is 2.
GCF(18126,18140) = 2
We will now calculate the prime factors of 18126 and 18140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18126 and 18140.
How to find the GCF of 18126 and 18140?
We will first find the prime factorization of 18126 and 18140. After we will calculate the factors of 18126 and 18140 and find the biggest common factor number .
Step-1: Prime Factorization of 18126
Prime factors of 18126 are 2, 3, 19, 53. Prime factorization of 18126 in exponential form is:
18126 = 21 × 32 × 191 × 531
Step-2: Prime Factorization of 18140
Prime factors of 18140 are 2, 5, 907. Prime factorization of 18140 in exponential form is:
18140 = 22 × 51 × 9071
Step-3: Factors of 18126
List of positive integer factors of 18126 that divides 18126 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 53, 57, 106, 114, 159, 171, 318, 342, 477, 954, 1007, 2014, 3021, 6042, 9063
Step-4: Factors of 18140
List of positive integer factors of 18140 that divides 18126 without a remainder.
1, 2, 4, 5, 10, 20, 907, 1814, 3628, 4535, 9070
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18126 and 18140. The biggest common factor number is the GCF number.
So the greatest common factor 18126 and 18140 is 2.
Also check out the Least Common Multiple of 18126 and 18140
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