What is the Greatest Common Factor of 24307 and 24314?
Greatest common factor (GCF) of 24307 and 24314 is 1.
GCF(24307,24314) = 1
We will now calculate the prime factors of 24307 and 24314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24307 and 24314.
How to find the GCF of 24307 and 24314?
We will first find the prime factorization of 24307 and 24314. After we will calculate the factors of 24307 and 24314 and find the biggest common factor number .
Step-1: Prime Factorization of 24307
Prime factors of 24307 are 109, 223. Prime factorization of 24307 in exponential form is:
24307 = 1091 × 2231
Step-2: Prime Factorization of 24314
Prime factors of 24314 are 2, 12157. Prime factorization of 24314 in exponential form is:
24314 = 21 × 121571
Step-3: Factors of 24307
List of positive integer factors of 24307 that divides 24307 without a remainder.
1, 109, 223
Step-4: Factors of 24314
List of positive integer factors of 24314 that divides 24307 without a remainder.
1, 2, 12157
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24307 and 24314. The biggest common factor number is the GCF number.
So the greatest common factor 24307 and 24314 is 1.
Also check out the Least Common Multiple of 24307 and 24314
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