What is the Greatest Common Factor of 82914 and 82920?
Greatest common factor (GCF) of 82914 and 82920 is 6.
GCF(82914,82920) = 6
We will now calculate the prime factors of 82914 and 82920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82914 and 82920.
How to find the GCF of 82914 and 82920?
We will first find the prime factorization of 82914 and 82920. After we will calculate the factors of 82914 and 82920 and find the biggest common factor number .
Step-1: Prime Factorization of 82914
Prime factors of 82914 are 2, 3, 13, 1063. Prime factorization of 82914 in exponential form is:
82914 = 21 × 31 × 131 × 10631
Step-2: Prime Factorization of 82920
Prime factors of 82920 are 2, 3, 5, 691. Prime factorization of 82920 in exponential form is:
82920 = 23 × 31 × 51 × 6911
Step-3: Factors of 82914
List of positive integer factors of 82914 that divides 82914 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 1063, 2126, 3189, 6378, 13819, 27638, 41457
Step-4: Factors of 82920
List of positive integer factors of 82920 that divides 82914 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 691, 1382, 2073, 2764, 3455, 4146, 5528, 6910, 8292, 10365, 13820, 16584, 20730, 27640, 41460
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 82914 and 82920. The biggest common factor number is the GCF number.
So the greatest common factor 82914 and 82920 is 6.
Also check out the Least Common Multiple of 82914 and 82920
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