What is the Greatest Common Factor of 7641 and 7647?
Greatest common factor (GCF) of 7641 and 7647 is 3.
GCF(7641,7647) = 3
We will now calculate the prime factors of 7641 and 7647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7641 and 7647.
How to find the GCF of 7641 and 7647?
We will first find the prime factorization of 7641 and 7647. After we will calculate the factors of 7641 and 7647 and find the biggest common factor number .
Step-1: Prime Factorization of 7641
Prime factors of 7641 are 3, 283. Prime factorization of 7641 in exponential form is:
7641 = 33 × 2831
Step-2: Prime Factorization of 7647
Prime factors of 7647 are 3, 2549. Prime factorization of 7647 in exponential form is:
7647 = 31 × 25491
Step-3: Factors of 7641
List of positive integer factors of 7641 that divides 7641 without a remainder.
1, 3, 9, 27, 283, 849, 2547
Step-4: Factors of 7647
List of positive integer factors of 7647 that divides 7641 without a remainder.
1, 3, 2549
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7641 and 7647. The biggest common factor number is the GCF number.
So the greatest common factor 7641 and 7647 is 3.
Also check out the Least Common Multiple of 7641 and 7647
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