What is the Greatest Common Factor of 423 and 432?
Greatest common factor (GCF) of 423 and 432 is 9.
GCF(423,432) = 9
We will now calculate the prime factors of 423 and 432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 423 and 432.
How to find the GCF of 423 and 432?
We will first find the prime factorization of 423 and 432. After we will calculate the factors of 423 and 432 and find the biggest common factor number .
Step-1: Prime Factorization of 423
Prime factors of 423 are 3, 47. Prime factorization of 423 in exponential form is:
423 = 32 × 471
Step-2: Prime Factorization of 432
Prime factors of 432 are 2, 3. Prime factorization of 432 in exponential form is:
432 = 24 × 33
Step-3: Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141
Step-4: Factors of 432
List of positive integer factors of 432 that divides 423 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 423 and 432. The biggest common factor number is the GCF number.
So the greatest common factor 423 and 432 is 9.
Also check out the Least Common Multiple of 423 and 432
Related Greatest Common Factors of 423
- GCF of 423 and 427
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Related Greatest Common Factors of 432
- GCF of 432 and 436
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