What is the Greatest Common Factor of 24289 and 24308?
Greatest common factor (GCF) of 24289 and 24308 is 1.
GCF(24289,24308) = 1
We will now calculate the prime factors of 24289 and 24308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24289 and 24308.
How to find the GCF of 24289 and 24308?
We will first find the prime factorization of 24289 and 24308. After we will calculate the factors of 24289 and 24308 and find the biggest common factor number .
Step-1: Prime Factorization of 24289
Prime factors of 24289 are 107, 227. Prime factorization of 24289 in exponential form is:
24289 = 1071 × 2271
Step-2: Prime Factorization of 24308
Prime factors of 24308 are 2, 59, 103. Prime factorization of 24308 in exponential form is:
24308 = 22 × 591 × 1031
Step-3: Factors of 24289
List of positive integer factors of 24289 that divides 24289 without a remainder.
1, 107, 227
Step-4: Factors of 24308
List of positive integer factors of 24308 that divides 24289 without a remainder.
1, 2, 4, 59, 103, 118, 206, 236, 412, 6077, 12154
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24289 and 24308. The biggest common factor number is the GCF number.
So the greatest common factor 24289 and 24308 is 1.
Also check out the Least Common Multiple of 24289 and 24308
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