What is the Greatest Common Factor of 8487 and 8493?
Greatest common factor (GCF) of 8487 and 8493 is 3.
GCF(8487,8493) = 3
We will now calculate the prime factors of 8487 and 8493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8487 and 8493.
How to find the GCF of 8487 and 8493?
We will first find the prime factorization of 8487 and 8493. After we will calculate the factors of 8487 and 8493 and find the biggest common factor number .
Step-1: Prime Factorization of 8487
Prime factors of 8487 are 3, 23, 41. Prime factorization of 8487 in exponential form is:
8487 = 32 × 231 × 411
Step-2: Prime Factorization of 8493
Prime factors of 8493 are 3, 19, 149. Prime factorization of 8493 in exponential form is:
8493 = 31 × 191 × 1491
Step-3: Factors of 8487
List of positive integer factors of 8487 that divides 8487 without a remainder.
1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829
Step-4: Factors of 8493
List of positive integer factors of 8493 that divides 8487 without a remainder.
1, 3, 19, 57, 149, 447, 2831
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8487 and 8493. The biggest common factor number is the GCF number.
So the greatest common factor 8487 and 8493 is 3.
Also check out the Least Common Multiple of 8487 and 8493
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