What is the Greatest Common Factor of 23080 and 23086?
Greatest common factor (GCF) of 23080 and 23086 is 2.
GCF(23080,23086) = 2
We will now calculate the prime factors of 23080 and 23086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23080 and 23086.
How to find the GCF of 23080 and 23086?
We will first find the prime factorization of 23080 and 23086. After we will calculate the factors of 23080 and 23086 and find the biggest common factor number .
Step-1: Prime Factorization of 23080
Prime factors of 23080 are 2, 5, 577. Prime factorization of 23080 in exponential form is:
23080 = 23 × 51 × 5771
Step-2: Prime Factorization of 23086
Prime factors of 23086 are 2, 7, 17, 97. Prime factorization of 23086 in exponential form is:
23086 = 21 × 71 × 171 × 971
Step-3: Factors of 23080
List of positive integer factors of 23080 that divides 23080 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 577, 1154, 2308, 2885, 4616, 5770, 11540
Step-4: Factors of 23086
List of positive integer factors of 23086 that divides 23080 without a remainder.
1, 2, 7, 14, 17, 34, 97, 119, 194, 238, 679, 1358, 1649, 3298, 11543
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 23080 and 23086. The biggest common factor number is the GCF number.
So the greatest common factor 23080 and 23086 is 2.
Also check out the Least Common Multiple of 23080 and 23086
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