What is the Greatest Common Factor of 20091 and 20102?
Greatest common factor (GCF) of 20091 and 20102 is 1.
GCF(20091,20102) = 1
We will now calculate the prime factors of 20091 and 20102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20091 and 20102.
How to find the GCF of 20091 and 20102?
We will first find the prime factorization of 20091 and 20102. After we will calculate the factors of 20091 and 20102 and find the biggest common factor number .
Step-1: Prime Factorization of 20091
Prime factors of 20091 are 3, 37, 181. Prime factorization of 20091 in exponential form is:
20091 = 31 × 371 × 1811
Step-2: Prime Factorization of 20102
Prime factors of 20102 are 2, 19, 23. Prime factorization of 20102 in exponential form is:
20102 = 21 × 191 × 232
Step-3: Factors of 20091
List of positive integer factors of 20091 that divides 20091 without a remainder.
1, 3, 37, 111, 181, 543, 6697
Step-4: Factors of 20102
List of positive integer factors of 20102 that divides 20091 without a remainder.
1, 2, 19, 23, 38, 46, 437, 529, 874, 1058, 10051
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20091 and 20102. The biggest common factor number is the GCF number.
So the greatest common factor 20091 and 20102 is 1.
Also check out the Least Common Multiple of 20091 and 20102
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