What is the Greatest Common Factor of 24274 and 24288?
Greatest common factor (GCF) of 24274 and 24288 is 2.
GCF(24274,24288) = 2
We will now calculate the prime factors of 24274 and 24288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24274 and 24288.
How to find the GCF of 24274 and 24288?
We will first find the prime factorization of 24274 and 24288. After we will calculate the factors of 24274 and 24288 and find the biggest common factor number .
Step-1: Prime Factorization of 24274
Prime factors of 24274 are 2, 53, 229. Prime factorization of 24274 in exponential form is:
24274 = 21 × 531 × 2291
Step-2: Prime Factorization of 24288
Prime factors of 24288 are 2, 3, 11, 23. Prime factorization of 24288 in exponential form is:
24288 = 25 × 31 × 111 × 231
Step-3: Factors of 24274
List of positive integer factors of 24274 that divides 24274 without a remainder.
1, 2, 53, 106, 229, 458, 12137
Step-4: Factors of 24288
List of positive integer factors of 24288 that divides 24274 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 23, 24, 32, 33, 44, 46, 48, 66, 69, 88, 92, 96, 132, 138, 176, 184, 253, 264, 276, 352, 368, 506, 528, 552, 736, 759, 1012, 1056, 1104, 1518, 2024, 2208, 3036, 4048, 6072, 8096, 12144
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24274 and 24288. The biggest common factor number is the GCF number.
So the greatest common factor 24274 and 24288 is 2.
Also check out the Least Common Multiple of 24274 and 24288
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