What is the Greatest Common Factor of 12814 and 12824?
Greatest common factor (GCF) of 12814 and 12824 is 2.
GCF(12814,12824) = 2
We will now calculate the prime factors of 12814 and 12824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12814 and 12824.
How to find the GCF of 12814 and 12824?
We will first find the prime factorization of 12814 and 12824. After we will calculate the factors of 12814 and 12824 and find the biggest common factor number .
Step-1: Prime Factorization of 12814
Prime factors of 12814 are 2, 43, 149. Prime factorization of 12814 in exponential form is:
12814 = 21 × 431 × 1491
Step-2: Prime Factorization of 12824
Prime factors of 12824 are 2, 7, 229. Prime factorization of 12824 in exponential form is:
12824 = 23 × 71 × 2291
Step-3: Factors of 12814
List of positive integer factors of 12814 that divides 12814 without a remainder.
1, 2, 43, 86, 149, 298, 6407
Step-4: Factors of 12824
List of positive integer factors of 12824 that divides 12814 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 229, 458, 916, 1603, 1832, 3206, 6412
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12814 and 12824. The biggest common factor number is the GCF number.
So the greatest common factor 12814 and 12824 is 2.
Also check out the Least Common Multiple of 12814 and 12824
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Related Greatest Common Factors of 12824
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