What is the Greatest Common Factor of 9851 and 9867?
Greatest common factor (GCF) of 9851 and 9867 is 1.
GCF(9851,9867) = 1
We will now calculate the prime factors of 9851 and 9867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9851 and 9867.
How to find the GCF of 9851 and 9867?
We will first find the prime factorization of 9851 and 9867. After we will calculate the factors of 9851 and 9867 and find the biggest common factor number .
Step-1: Prime Factorization of 9851
Prime factors of 9851 are 9851. Prime factorization of 9851 in exponential form is:
9851 = 98511
Step-2: Prime Factorization of 9867
Prime factors of 9867 are 3, 11, 13, 23. Prime factorization of 9867 in exponential form is:
9867 = 31 × 111 × 131 × 231
Step-3: Factors of 9851
List of positive integer factors of 9851 that divides 9851 without a remainder.
1
Step-4: Factors of 9867
List of positive integer factors of 9867 that divides 9851 without a remainder.
1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9851 and 9867. The biggest common factor number is the GCF number.
So the greatest common factor 9851 and 9867 is 1.
Also check out the Least Common Multiple of 9851 and 9867
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