What is the Greatest Common Factor of 82030 and 82050?
Greatest common factor (GCF) of 82030 and 82050 is 10.
GCF(82030,82050) = 10
We will now calculate the prime factors of 82030 and 82050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82030 and 82050.
How to find the GCF of 82030 and 82050?
We will first find the prime factorization of 82030 and 82050. After we will calculate the factors of 82030 and 82050 and find the biggest common factor number .
Step-1: Prime Factorization of 82030
Prime factors of 82030 are 2, 5, 13, 631. Prime factorization of 82030 in exponential form is:
82030 = 21 × 51 × 131 × 6311
Step-2: Prime Factorization of 82050
Prime factors of 82050 are 2, 3, 5, 547. Prime factorization of 82050 in exponential form is:
82050 = 21 × 31 × 52 × 5471
Step-3: Factors of 82030
List of positive integer factors of 82030 that divides 82030 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130, 631, 1262, 3155, 6310, 8203, 16406, 41015
Step-4: Factors of 82050
List of positive integer factors of 82050 that divides 82030 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 547, 1094, 1641, 2735, 3282, 5470, 8205, 13675, 16410, 27350, 41025
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 82030 and 82050. The biggest common factor number is the GCF number.
So the greatest common factor 82030 and 82050 is 10.
Also check out the Least Common Multiple of 82030 and 82050
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