What is the Greatest Common Factor of 24567 and 24576?
Greatest common factor (GCF) of 24567 and 24576 is 3.
GCF(24567,24576) = 3
We will now calculate the prime factors of 24567 and 24576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24567 and 24576.
How to find the GCF of 24567 and 24576?
We will first find the prime factorization of 24567 and 24576. After we will calculate the factors of 24567 and 24576 and find the biggest common factor number .
Step-1: Prime Factorization of 24567
Prime factors of 24567 are 3, 19, 431. Prime factorization of 24567 in exponential form is:
24567 = 31 × 191 × 4311
Step-2: Prime Factorization of 24576
Prime factors of 24576 are 2, 3. Prime factorization of 24576 in exponential form is:
24576 = 213 × 31
Step-3: Factors of 24567
List of positive integer factors of 24567 that divides 24567 without a remainder.
1, 3, 19, 57, 431, 1293, 8189
Step-4: Factors of 24576
List of positive integer factors of 24576 that divides 24567 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 4096, 6144, 8192, 12288
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24567 and 24576. The biggest common factor number is the GCF number.
So the greatest common factor 24567 and 24576 is 3.
Also check out the Least Common Multiple of 24567 and 24576
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Related Greatest Common Factors of 24576
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