What is the Greatest Common Factor of 96320 and 96340?
Greatest common factor (GCF) of 96320 and 96340 is 20.
GCF(96320,96340) = 20
We will now calculate the prime factors of 96320 and 96340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96320 and 96340.
How to find the GCF of 96320 and 96340?
We will first find the prime factorization of 96320 and 96340. After we will calculate the factors of 96320 and 96340 and find the biggest common factor number .
Step-1: Prime Factorization of 96320
Prime factors of 96320 are 2, 5, 7, 43. Prime factorization of 96320 in exponential form is:
96320 = 26 × 51 × 71 × 431
Step-2: Prime Factorization of 96340
Prime factors of 96340 are 2, 5, 4817. Prime factorization of 96340 in exponential form is:
96340 = 22 × 51 × 48171
Step-3: Factors of 96320
List of positive integer factors of 96320 that divides 96320 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 43, 56, 64, 70, 80, 86, 112, 140, 160, 172, 215, 224, 280, 301, 320, 344, 430, 448, 560, 602, 688, 860, 1120, 1204, 1376, 1505, 1720, 2240, 2408, 2752, 3010, 3440, 4816, 6020, 6880, 9632, 12040, 13760, 19264, 24080, 48160
Step-4: Factors of 96340
List of positive integer factors of 96340 that divides 96320 without a remainder.
1, 2, 4, 5, 10, 20, 4817, 9634, 19268, 24085, 48170
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 96320 and 96340. The biggest common factor number is the GCF number.
So the greatest common factor 96320 and 96340 is 20.
Also check out the Least Common Multiple of 96320 and 96340
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