What is the Greatest Common Factor of 28839 and 28854?
Greatest common factor (GCF) of 28839 and 28854 is 3.
GCF(28839,28854) = 3
We will now calculate the prime factors of 28839 and 28854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28839 and 28854.
How to find the GCF of 28839 and 28854?
We will first find the prime factorization of 28839 and 28854. After we will calculate the factors of 28839 and 28854 and find the biggest common factor number .
Step-1: Prime Factorization of 28839
Prime factors of 28839 are 3, 9613. Prime factorization of 28839 in exponential form is:
28839 = 31 × 96131
Step-2: Prime Factorization of 28854
Prime factors of 28854 are 2, 3, 7, 229. Prime factorization of 28854 in exponential form is:
28854 = 21 × 32 × 71 × 2291
Step-3: Factors of 28839
List of positive integer factors of 28839 that divides 28839 without a remainder.
1, 3, 9613
Step-4: Factors of 28854
List of positive integer factors of 28854 that divides 28839 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 229, 458, 687, 1374, 1603, 2061, 3206, 4122, 4809, 9618, 14427
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28839 and 28854. The biggest common factor number is the GCF number.
So the greatest common factor 28839 and 28854 is 3.
Also check out the Least Common Multiple of 28839 and 28854
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