What is the Greatest Common Factor of 24909 and 24914?
Greatest common factor (GCF) of 24909 and 24914 is 1.
GCF(24909,24914) = 1
We will now calculate the prime factors of 24909 and 24914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24909 and 24914.
How to find the GCF of 24909 and 24914?
We will first find the prime factorization of 24909 and 24914. After we will calculate the factors of 24909 and 24914 and find the biggest common factor number .
Step-1: Prime Factorization of 24909
Prime factors of 24909 are 3, 19, 23. Prime factorization of 24909 in exponential form is:
24909 = 31 × 192 × 231
Step-2: Prime Factorization of 24914
Prime factors of 24914 are 2, 12457. Prime factorization of 24914 in exponential form is:
24914 = 21 × 124571
Step-3: Factors of 24909
List of positive integer factors of 24909 that divides 24909 without a remainder.
1, 3, 19, 23, 57, 69, 361, 437, 1083, 1311, 8303
Step-4: Factors of 24914
List of positive integer factors of 24914 that divides 24909 without a remainder.
1, 2, 12457
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24909 and 24914. The biggest common factor number is the GCF number.
So the greatest common factor 24909 and 24914 is 1.
Also check out the Least Common Multiple of 24909 and 24914
Related Greatest Common Factors of 24909
- GCF of 24909 and 24913
- GCF of 24909 and 24914
- GCF of 24909 and 24915
- GCF of 24909 and 24916
- GCF of 24909 and 24917
- GCF of 24909 and 24918
- GCF of 24909 and 24919
- GCF of 24909 and 24920
- GCF of 24909 and 24921
- GCF of 24909 and 24922
- GCF of 24909 and 24923
- GCF of 24909 and 24924
- GCF of 24909 and 24925
- GCF of 24909 and 24926
- GCF of 24909 and 24927
- GCF of 24909 and 24928
- GCF of 24909 and 24929
Related Greatest Common Factors of 24914
- GCF of 24914 and 24918
- GCF of 24914 and 24919
- GCF of 24914 and 24920
- GCF of 24914 and 24921
- GCF of 24914 and 24922
- GCF of 24914 and 24923
- GCF of 24914 and 24924
- GCF of 24914 and 24925
- GCF of 24914 and 24926
- GCF of 24914 and 24927
- GCF of 24914 and 24928
- GCF of 24914 and 24929
- GCF of 24914 and 24930
- GCF of 24914 and 24931
- GCF of 24914 and 24932
- GCF of 24914 and 24933
- GCF of 24914 and 24934