What is the Greatest Common Factor of 16103 and 16120?
Greatest common factor (GCF) of 16103 and 16120 is 1.
GCF(16103,16120) = 1
We will now calculate the prime factors of 16103 and 16120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16103 and 16120.
How to find the GCF of 16103 and 16120?
We will first find the prime factorization of 16103 and 16120. After we will calculate the factors of 16103 and 16120 and find the biggest common factor number .
Step-1: Prime Factorization of 16103
Prime factors of 16103 are 16103. Prime factorization of 16103 in exponential form is:
16103 = 161031
Step-2: Prime Factorization of 16120
Prime factors of 16120 are 2, 5, 13, 31. Prime factorization of 16120 in exponential form is:
16120 = 23 × 51 × 131 × 311
Step-3: Factors of 16103
List of positive integer factors of 16103 that divides 16103 without a remainder.
1
Step-4: Factors of 16120
List of positive integer factors of 16120 that divides 16103 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 31, 40, 52, 62, 65, 104, 124, 130, 155, 248, 260, 310, 403, 520, 620, 806, 1240, 1612, 2015, 3224, 4030, 8060
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16103 and 16120. The biggest common factor number is the GCF number.
So the greatest common factor 16103 and 16120 is 1.
Also check out the Least Common Multiple of 16103 and 16120
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