What is the Greatest Common Factor of 24090 and 24104?
Greatest common factor (GCF) of 24090 and 24104 is 2.
GCF(24090,24104) = 2
We will now calculate the prime factors of 24090 and 24104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24090 and 24104.
How to find the GCF of 24090 and 24104?
We will first find the prime factorization of 24090 and 24104. After we will calculate the factors of 24090 and 24104 and find the biggest common factor number .
Step-1: Prime Factorization of 24090
Prime factors of 24090 are 2, 3, 5, 11, 73. Prime factorization of 24090 in exponential form is:
24090 = 21 × 31 × 51 × 111 × 731
Step-2: Prime Factorization of 24104
Prime factors of 24104 are 2, 23, 131. Prime factorization of 24104 in exponential form is:
24104 = 23 × 231 × 1311
Step-3: Factors of 24090
List of positive integer factors of 24090 that divides 24090 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 73, 110, 146, 165, 219, 330, 365, 438, 730, 803, 1095, 1606, 2190, 2409, 4015, 4818, 8030, 12045
Step-4: Factors of 24104
List of positive integer factors of 24104 that divides 24090 without a remainder.
1, 2, 4, 8, 23, 46, 92, 131, 184, 262, 524, 1048, 3013, 6026, 12052
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24090 and 24104. The biggest common factor number is the GCF number.
So the greatest common factor 24090 and 24104 is 2.
Also check out the Least Common Multiple of 24090 and 24104
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