What is the Greatest Common Factor of 24838 and 24849?
Greatest common factor (GCF) of 24838 and 24849 is 11.
GCF(24838,24849) = 11
We will now calculate the prime factors of 24838 and 24849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24838 and 24849.
How to find the GCF of 24838 and 24849?
We will first find the prime factorization of 24838 and 24849. After we will calculate the factors of 24838 and 24849 and find the biggest common factor number .
Step-1: Prime Factorization of 24838
Prime factors of 24838 are 2, 11, 1129. Prime factorization of 24838 in exponential form is:
24838 = 21 × 111 × 11291
Step-2: Prime Factorization of 24849
Prime factors of 24849 are 3, 11, 251. Prime factorization of 24849 in exponential form is:
24849 = 32 × 111 × 2511
Step-3: Factors of 24838
List of positive integer factors of 24838 that divides 24838 without a remainder.
1, 2, 11, 22, 1129, 2258, 12419
Step-4: Factors of 24849
List of positive integer factors of 24849 that divides 24838 without a remainder.
1, 3, 9, 11, 33, 99, 251, 753, 2259, 2761, 8283
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24838 and 24849. The biggest common factor number is the GCF number.
So the greatest common factor 24838 and 24849 is 11.
Also check out the Least Common Multiple of 24838 and 24849
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