What is the Greatest Common Factor of 24282 and 24294?
Greatest common factor (GCF) of 24282 and 24294 is 6.
GCF(24282,24294) = 6
We will now calculate the prime factors of 24282 and 24294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24282 and 24294.
How to find the GCF of 24282 and 24294?
We will first find the prime factorization of 24282 and 24294. After we will calculate the factors of 24282 and 24294 and find the biggest common factor number .
Step-1: Prime Factorization of 24282
Prime factors of 24282 are 2, 3, 19, 71. Prime factorization of 24282 in exponential form is:
24282 = 21 × 32 × 191 × 711
Step-2: Prime Factorization of 24294
Prime factors of 24294 are 2, 3, 4049. Prime factorization of 24294 in exponential form is:
24294 = 21 × 31 × 40491
Step-3: Factors of 24282
List of positive integer factors of 24282 that divides 24282 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 71, 114, 142, 171, 213, 342, 426, 639, 1278, 1349, 2698, 4047, 8094, 12141
Step-4: Factors of 24294
List of positive integer factors of 24294 that divides 24282 without a remainder.
1, 2, 3, 6, 4049, 8098, 12147
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24282 and 24294. The biggest common factor number is the GCF number.
So the greatest common factor 24282 and 24294 is 6.
Also check out the Least Common Multiple of 24282 and 24294
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