What is the Greatest Common Factor of 24153 and 24170?
Greatest common factor (GCF) of 24153 and 24170 is 1.
GCF(24153,24170) = 1
We will now calculate the prime factors of 24153 and 24170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24153 and 24170.
How to find the GCF of 24153 and 24170?
We will first find the prime factorization of 24153 and 24170. After we will calculate the factors of 24153 and 24170 and find the biggest common factor number .
Step-1: Prime Factorization of 24153
Prime factors of 24153 are 3, 83, 97. Prime factorization of 24153 in exponential form is:
24153 = 31 × 831 × 971
Step-2: Prime Factorization of 24170
Prime factors of 24170 are 2, 5, 2417. Prime factorization of 24170 in exponential form is:
24170 = 21 × 51 × 24171
Step-3: Factors of 24153
List of positive integer factors of 24153 that divides 24153 without a remainder.
1, 3, 83, 97, 249, 291, 8051
Step-4: Factors of 24170
List of positive integer factors of 24170 that divides 24153 without a remainder.
1, 2, 5, 10, 2417, 4834, 12085
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24153 and 24170. The biggest common factor number is the GCF number.
So the greatest common factor 24153 and 24170 is 1.
Also check out the Least Common Multiple of 24153 and 24170
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