What is the Greatest Common Factor of 24104 and 24124?
Greatest common factor (GCF) of 24104 and 24124 is 4.
GCF(24104,24124) = 4
We will now calculate the prime factors of 24104 and 24124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24104 and 24124.
How to find the GCF of 24104 and 24124?
We will first find the prime factorization of 24104 and 24124. After we will calculate the factors of 24104 and 24124 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 24124
Prime factors of 24124 are 2, 37, 163. Prime factorization of 24124 in exponential form is:
24124 = 22 × 371 × 1631
Step-3: Factors of 24104
List of positive integer factors of 24104 that divides 24104 without a remainder.
1, 2, 4, 8, 23, 46, 92, 131, 184, 262, 524, 1048, 3013, 6026, 12052
Step-4: Factors of 24124
List of positive integer factors of 24124 that divides 24104 without a remainder.
1, 2, 4, 37, 74, 148, 163, 326, 652, 6031, 12062
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24104 and 24124. The biggest common factor number is the GCF number.
So the greatest common factor 24104 and 24124 is 4.
Also check out the Least Common Multiple of 24104 and 24124
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