What is the Greatest Common Factor of 8619 and 8637?
Greatest common factor (GCF) of 8619 and 8637 is 3.
GCF(8619,8637) = 3
We will now calculate the prime factors of 8619 and 8637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8619 and 8637.
How to find the GCF of 8619 and 8637?
We will first find the prime factorization of 8619 and 8637. After we will calculate the factors of 8619 and 8637 and find the biggest common factor number .
Step-1: Prime Factorization of 8619
Prime factors of 8619 are 3, 13, 17. Prime factorization of 8619 in exponential form is:
8619 = 31 × 132 × 171
Step-2: Prime Factorization of 8637
Prime factors of 8637 are 3, 2879. Prime factorization of 8637 in exponential form is:
8637 = 31 × 28791
Step-3: Factors of 8619
List of positive integer factors of 8619 that divides 8619 without a remainder.
1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873
Step-4: Factors of 8637
List of positive integer factors of 8637 that divides 8619 without a remainder.
1, 3, 2879
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8619 and 8637. The biggest common factor number is the GCF number.
So the greatest common factor 8619 and 8637 is 3.
Also check out the Least Common Multiple of 8619 and 8637
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