What is the Greatest Common Factor of 7989 and 8005?
Greatest common factor (GCF) of 7989 and 8005 is 1.
GCF(7989,8005) = 1
We will now calculate the prime factors of 7989 and 8005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7989 and 8005.
How to find the GCF of 7989 and 8005?
We will first find the prime factorization of 7989 and 8005. After we will calculate the factors of 7989 and 8005 and find the biggest common factor number .
Step-1: Prime Factorization of 7989
Prime factors of 7989 are 3, 2663. Prime factorization of 7989 in exponential form is:
7989 = 31 × 26631
Step-2: Prime Factorization of 8005
Prime factors of 8005 are 5, 1601. Prime factorization of 8005 in exponential form is:
8005 = 51 × 16011
Step-3: Factors of 7989
List of positive integer factors of 7989 that divides 7989 without a remainder.
1, 3, 2663
Step-4: Factors of 8005
List of positive integer factors of 8005 that divides 7989 without a remainder.
1, 5, 1601
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7989 and 8005. The biggest common factor number is the GCF number.
So the greatest common factor 7989 and 8005 is 1.
Also check out the Least Common Multiple of 7989 and 8005
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