What is the Greatest Common Factor of 9903 and 9921?
Greatest common factor (GCF) of 9903 and 9921 is 3.
GCF(9903,9921) = 3
We will now calculate the prime factors of 9903 and 9921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9903 and 9921.
How to find the GCF of 9903 and 9921?
We will first find the prime factorization of 9903 and 9921. After we will calculate the factors of 9903 and 9921 and find the biggest common factor number .
Step-1: Prime Factorization of 9903
Prime factors of 9903 are 3, 3301. Prime factorization of 9903 in exponential form is:
9903 = 31 × 33011
Step-2: Prime Factorization of 9921
Prime factors of 9921 are 3, 3307. Prime factorization of 9921 in exponential form is:
9921 = 31 × 33071
Step-3: Factors of 9903
List of positive integer factors of 9903 that divides 9903 without a remainder.
1, 3, 3301
Step-4: Factors of 9921
List of positive integer factors of 9921 that divides 9903 without a remainder.
1, 3, 3307
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9903 and 9921. The biggest common factor number is the GCF number.
So the greatest common factor 9903 and 9921 is 3.
Also check out the Least Common Multiple of 9903 and 9921
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