What is the Greatest Common Factor of 4296 and 4312?
Greatest common factor (GCF) of 4296 and 4312 is 8.
GCF(4296,4312) = 8
We will now calculate the prime factors of 4296 and 4312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4296 and 4312.
How to find the GCF of 4296 and 4312?
We will first find the prime factorization of 4296 and 4312. After we will calculate the factors of 4296 and 4312 and find the biggest common factor number .
Step-1: Prime Factorization of 4296
Prime factors of 4296 are 2, 3, 179. Prime factorization of 4296 in exponential form is:
4296 = 23 × 31 × 1791
Step-2: Prime Factorization of 4312
Prime factors of 4312 are 2, 7, 11. Prime factorization of 4312 in exponential form is:
4312 = 23 × 72 × 111
Step-3: Factors of 4296
List of positive integer factors of 4296 that divides 4296 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148
Step-4: Factors of 4312
List of positive integer factors of 4312 that divides 4296 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4296 and 4312. The biggest common factor number is the GCF number.
So the greatest common factor 4296 and 4312 is 8.
Also check out the Least Common Multiple of 4296 and 4312
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Related Greatest Common Factors of 4312
- GCF of 4312 and 4316
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