What is the Greatest Common Factor of 82130 and 82138?
Greatest common factor (GCF) of 82130 and 82138 is 2.
GCF(82130,82138) = 2
We will now calculate the prime factors of 82130 and 82138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82130 and 82138.
How to find the GCF of 82130 and 82138?
We will first find the prime factorization of 82130 and 82138. After we will calculate the factors of 82130 and 82138 and find the biggest common factor number .
Step-1: Prime Factorization of 82130
Prime factors of 82130 are 2, 5, 43, 191. Prime factorization of 82130 in exponential form is:
82130 = 21 × 51 × 431 × 1911
Step-2: Prime Factorization of 82138
Prime factors of 82138 are 2, 7, 5867. Prime factorization of 82138 in exponential form is:
82138 = 21 × 71 × 58671
Step-3: Factors of 82130
List of positive integer factors of 82130 that divides 82130 without a remainder.
1, 2, 5, 10, 43, 86, 191, 215, 382, 430, 955, 1910, 8213, 16426, 41065
Step-4: Factors of 82138
List of positive integer factors of 82138 that divides 82130 without a remainder.
1, 2, 7, 14, 5867, 11734, 41069
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 82130 and 82138. The biggest common factor number is the GCF number.
So the greatest common factor 82130 and 82138 is 2.
Also check out the Least Common Multiple of 82130 and 82138
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