What is the Greatest Common Factor of 16449 and 16455?
Greatest common factor (GCF) of 16449 and 16455 is 3.
GCF(16449,16455) = 3
We will now calculate the prime factors of 16449 and 16455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16449 and 16455.
How to find the GCF of 16449 and 16455?
We will first find the prime factorization of 16449 and 16455. After we will calculate the factors of 16449 and 16455 and find the biggest common factor number .
Step-1: Prime Factorization of 16449
Prime factors of 16449 are 3, 5483. Prime factorization of 16449 in exponential form is:
16449 = 31 × 54831
Step-2: Prime Factorization of 16455
Prime factors of 16455 are 3, 5, 1097. Prime factorization of 16455 in exponential form is:
16455 = 31 × 51 × 10971
Step-3: Factors of 16449
List of positive integer factors of 16449 that divides 16449 without a remainder.
1, 3, 5483
Step-4: Factors of 16455
List of positive integer factors of 16455 that divides 16449 without a remainder.
1, 3, 5, 15, 1097, 3291, 5485
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16449 and 16455. The biggest common factor number is the GCF number.
So the greatest common factor 16449 and 16455 is 3.
Also check out the Least Common Multiple of 16449 and 16455
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