What is the Greatest Common Factor of 24284 and 24296?
Greatest common factor (GCF) of 24284 and 24296 is 4.
GCF(24284,24296) = 4
We will now calculate the prime factors of 24284 and 24296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24284 and 24296.
How to find the GCF of 24284 and 24296?
We will first find the prime factorization of 24284 and 24296. After we will calculate the factors of 24284 and 24296 and find the biggest common factor number .
Step-1: Prime Factorization of 24284
Prime factors of 24284 are 2, 13, 467. Prime factorization of 24284 in exponential form is:
24284 = 22 × 131 × 4671
Step-2: Prime Factorization of 24296
Prime factors of 24296 are 2, 3037. Prime factorization of 24296 in exponential form is:
24296 = 23 × 30371
Step-3: Factors of 24284
List of positive integer factors of 24284 that divides 24284 without a remainder.
1, 2, 4, 13, 26, 52, 467, 934, 1868, 6071, 12142
Step-4: Factors of 24296
List of positive integer factors of 24296 that divides 24284 without a remainder.
1, 2, 4, 8, 3037, 6074, 12148
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24284 and 24296. The biggest common factor number is the GCF number.
So the greatest common factor 24284 and 24296 is 4.
Also check out the Least Common Multiple of 24284 and 24296
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