What is the Greatest Common Factor of 27276 and 27294?
Greatest common factor (GCF) of 27276 and 27294 is 6.
GCF(27276,27294) = 6
We will now calculate the prime factors of 27276 and 27294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27276 and 27294.
How to find the GCF of 27276 and 27294?
We will first find the prime factorization of 27276 and 27294. After we will calculate the factors of 27276 and 27294 and find the biggest common factor number .
Step-1: Prime Factorization of 27276
Prime factors of 27276 are 2, 3, 2273. Prime factorization of 27276 in exponential form is:
27276 = 22 × 31 × 22731
Step-2: Prime Factorization of 27294
Prime factors of 27294 are 2, 3, 4549. Prime factorization of 27294 in exponential form is:
27294 = 21 × 31 × 45491
Step-3: Factors of 27276
List of positive integer factors of 27276 that divides 27276 without a remainder.
1, 2, 3, 4, 6, 12, 2273, 4546, 6819, 9092, 13638
Step-4: Factors of 27294
List of positive integer factors of 27294 that divides 27276 without a remainder.
1, 2, 3, 6, 4549, 9098, 13647
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27276 and 27294. The biggest common factor number is the GCF number.
So the greatest common factor 27276 and 27294 is 6.
Also check out the Least Common Multiple of 27276 and 27294
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