What is the Greatest Common Factor of 20791 and 20809?
Greatest common factor (GCF) of 20791 and 20809 is 1.
GCF(20791,20809) = 1
We will now calculate the prime factors of 20791 and 20809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20791 and 20809.
How to find the GCF of 20791 and 20809?
We will first find the prime factorization of 20791 and 20809. After we will calculate the factors of 20791 and 20809 and find the biggest common factor number .
Step-1: Prime Factorization of 20791
Prime factors of 20791 are 17, 1223. Prime factorization of 20791 in exponential form is:
20791 = 171 × 12231
Step-2: Prime Factorization of 20809
Prime factors of 20809 are 20809. Prime factorization of 20809 in exponential form is:
20809 = 208091
Step-3: Factors of 20791
List of positive integer factors of 20791 that divides 20791 without a remainder.
1, 17, 1223
Step-4: Factors of 20809
List of positive integer factors of 20809 that divides 20791 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20791 and 20809. The biggest common factor number is the GCF number.
So the greatest common factor 20791 and 20809 is 1.
Also check out the Least Common Multiple of 20791 and 20809
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