What is the Greatest Common Factor of 20110 and 20121?
Greatest common factor (GCF) of 20110 and 20121 is 1.
GCF(20110,20121) = 1
We will now calculate the prime factors of 20110 and 20121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20110 and 20121.
How to find the GCF of 20110 and 20121?
We will first find the prime factorization of 20110 and 20121. After we will calculate the factors of 20110 and 20121 and find the biggest common factor number .
Step-1: Prime Factorization of 20110
Prime factors of 20110 are 2, 5, 2011. Prime factorization of 20110 in exponential form is:
20110 = 21 × 51 × 20111
Step-2: Prime Factorization of 20121
Prime factors of 20121 are 3, 19, 353. Prime factorization of 20121 in exponential form is:
20121 = 31 × 191 × 3531
Step-3: Factors of 20110
List of positive integer factors of 20110 that divides 20110 without a remainder.
1, 2, 5, 10, 2011, 4022, 10055
Step-4: Factors of 20121
List of positive integer factors of 20121 that divides 20110 without a remainder.
1, 3, 19, 57, 353, 1059, 6707
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20110 and 20121. The biggest common factor number is the GCF number.
So the greatest common factor 20110 and 20121 is 1.
Also check out the Least Common Multiple of 20110 and 20121
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