What is the Greatest Common Factor of 43122 and 43130?
Greatest common factor (GCF) of 43122 and 43130 is 2.
GCF(43122,43130) = 2
We will now calculate the prime factors of 43122 and 43130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43122 and 43130.
How to find the GCF of 43122 and 43130?
We will first find the prime factorization of 43122 and 43130. After we will calculate the factors of 43122 and 43130 and find the biggest common factor number .
Step-1: Prime Factorization of 43122
Prime factors of 43122 are 2, 3, 7187. Prime factorization of 43122 in exponential form is:
43122 = 21 × 31 × 71871
Step-2: Prime Factorization of 43130
Prime factors of 43130 are 2, 5, 19, 227. Prime factorization of 43130 in exponential form is:
43130 = 21 × 51 × 191 × 2271
Step-3: Factors of 43122
List of positive integer factors of 43122 that divides 43122 without a remainder.
1, 2, 3, 6, 7187, 14374, 21561
Step-4: Factors of 43130
List of positive integer factors of 43130 that divides 43122 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190, 227, 454, 1135, 2270, 4313, 8626, 21565
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 43122 and 43130. The biggest common factor number is the GCF number.
So the greatest common factor 43122 and 43130 is 2.
Also check out the Least Common Multiple of 43122 and 43130
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