What is the Greatest Common Factor of 7893 and 7909?
Greatest common factor (GCF) of 7893 and 7909 is 1.
GCF(7893,7909) = 1
We will now calculate the prime factors of 7893 and 7909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7893 and 7909.
How to find the GCF of 7893 and 7909?
We will first find the prime factorization of 7893 and 7909. After we will calculate the factors of 7893 and 7909 and find the biggest common factor number .
Step-1: Prime Factorization of 7893
Prime factors of 7893 are 3, 877. Prime factorization of 7893 in exponential form is:
7893 = 32 × 8771
Step-2: Prime Factorization of 7909
Prime factors of 7909 are 11, 719. Prime factorization of 7909 in exponential form is:
7909 = 111 × 7191
Step-3: Factors of 7893
List of positive integer factors of 7893 that divides 7893 without a remainder.
1, 3, 9, 877, 2631
Step-4: Factors of 7909
List of positive integer factors of 7909 that divides 7893 without a remainder.
1, 11, 719
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7893 and 7909. The biggest common factor number is the GCF number.
So the greatest common factor 7893 and 7909 is 1.
Also check out the Least Common Multiple of 7893 and 7909
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