What is the Greatest Common Factor of 35838 and 35847?
Greatest common factor (GCF) of 35838 and 35847 is 9.
GCF(35838,35847) = 9
We will now calculate the prime factors of 35838 and 35847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35838 and 35847.
How to find the GCF of 35838 and 35847?
We will first find the prime factorization of 35838 and 35847. After we will calculate the factors of 35838 and 35847 and find the biggest common factor number .
Step-1: Prime Factorization of 35838
Prime factors of 35838 are 2, 3, 11, 181. Prime factorization of 35838 in exponential form is:
35838 = 21 × 32 × 111 × 1811
Step-2: Prime Factorization of 35847
Prime factors of 35847 are 3, 7, 569. Prime factorization of 35847 in exponential form is:
35847 = 32 × 71 × 5691
Step-3: Factors of 35838
List of positive integer factors of 35838 that divides 35838 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 181, 198, 362, 543, 1086, 1629, 1991, 3258, 3982, 5973, 11946, 17919
Step-4: Factors of 35847
List of positive integer factors of 35847 that divides 35838 without a remainder.
1, 3, 7, 9, 21, 63, 569, 1707, 3983, 5121, 11949
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35838 and 35847. The biggest common factor number is the GCF number.
So the greatest common factor 35838 and 35847 is 9.
Also check out the Least Common Multiple of 35838 and 35847
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Related Greatest Common Factors of 35847
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