What is the Greatest Common Factor of 9842 and 9856?
Greatest common factor (GCF) of 9842 and 9856 is 14.
GCF(9842,9856) = 14
We will now calculate the prime factors of 9842 and 9856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9842 and 9856.
How to find the GCF of 9842 and 9856?
We will first find the prime factorization of 9842 and 9856. After we will calculate the factors of 9842 and 9856 and find the biggest common factor number .
Step-1: Prime Factorization of 9842
Prime factors of 9842 are 2, 7, 19, 37. Prime factorization of 9842 in exponential form is:
9842 = 21 × 71 × 191 × 371
Step-2: Prime Factorization of 9856
Prime factors of 9856 are 2, 7, 11. Prime factorization of 9856 in exponential form is:
9856 = 27 × 71 × 111
Step-3: Factors of 9842
List of positive integer factors of 9842 that divides 9842 without a remainder.
1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921
Step-4: Factors of 9856
List of positive integer factors of 9856 that divides 9842 without a remainder.
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9842 and 9856. The biggest common factor number is the GCF number.
So the greatest common factor 9842 and 9856 is 14.
Also check out the Least Common Multiple of 9842 and 9856
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