What is the Greatest Common Factor of 12274 and 12284?
Greatest common factor (GCF) of 12274 and 12284 is 2.
GCF(12274,12284) = 2
We will now calculate the prime factors of 12274 and 12284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12274 and 12284.
How to find the GCF of 12274 and 12284?
We will first find the prime factorization of 12274 and 12284. After we will calculate the factors of 12274 and 12284 and find the biggest common factor number .
Step-1: Prime Factorization of 12274
Prime factors of 12274 are 2, 17, 19. Prime factorization of 12274 in exponential form is:
12274 = 21 × 171 × 192
Step-2: Prime Factorization of 12284
Prime factors of 12284 are 2, 37, 83. Prime factorization of 12284 in exponential form is:
12284 = 22 × 371 × 831
Step-3: Factors of 12274
List of positive integer factors of 12274 that divides 12274 without a remainder.
1, 2, 17, 19, 34, 38, 323, 361, 646, 722, 6137
Step-4: Factors of 12284
List of positive integer factors of 12284 that divides 12274 without a remainder.
1, 2, 4, 37, 74, 83, 148, 166, 332, 3071, 6142
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12274 and 12284. The biggest common factor number is the GCF number.
So the greatest common factor 12274 and 12284 is 2.
Also check out the Least Common Multiple of 12274 and 12284
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