What is the Greatest Common Factor of 447 and 456?
Greatest common factor (GCF) of 447 and 456 is 3.
GCF(447,456) = 3
We will now calculate the prime factors of 447 and 456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 447 and 456.
How to find the GCF of 447 and 456?
We will first find the prime factorization of 447 and 456. After we will calculate the factors of 447 and 456 and find the biggest common factor number .
Step-1: Prime Factorization of 447
Prime factors of 447 are 3, 149. Prime factorization of 447 in exponential form is:
447 = 31 × 1491
Step-2: Prime Factorization of 456
Prime factors of 456 are 2, 3, 19. Prime factorization of 456 in exponential form is:
456 = 23 × 31 × 191
Step-3: Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1, 3, 149
Step-4: Factors of 456
List of positive integer factors of 456 that divides 447 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 447 and 456. The biggest common factor number is the GCF number.
So the greatest common factor 447 and 456 is 3.
Also check out the Least Common Multiple of 447 and 456
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