What is the Greatest Common Factor of 8789 and 8809?
Greatest common factor (GCF) of 8789 and 8809 is 1.
GCF(8789,8809) = 1
We will now calculate the prime factors of 8789 and 8809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8789 and 8809.
How to find the GCF of 8789 and 8809?
We will first find the prime factorization of 8789 and 8809. After we will calculate the factors of 8789 and 8809 and find the biggest common factor number .
Step-1: Prime Factorization of 8789
Prime factors of 8789 are 11, 17, 47. Prime factorization of 8789 in exponential form is:
8789 = 111 × 171 × 471
Step-2: Prime Factorization of 8809
Prime factors of 8809 are 23, 383. Prime factorization of 8809 in exponential form is:
8809 = 231 × 3831
Step-3: Factors of 8789
List of positive integer factors of 8789 that divides 8789 without a remainder.
1, 11, 17, 47, 187, 517, 799
Step-4: Factors of 8809
List of positive integer factors of 8809 that divides 8789 without a remainder.
1, 23, 383
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8789 and 8809. The biggest common factor number is the GCF number.
So the greatest common factor 8789 and 8809 is 1.
Also check out the Least Common Multiple of 8789 and 8809
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