What is the Greatest Common Factor of 7281 and 7296?
Greatest common factor (GCF) of 7281 and 7296 is 3.
GCF(7281,7296) = 3
We will now calculate the prime factors of 7281 and 7296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7281 and 7296.
How to find the GCF of 7281 and 7296?
We will first find the prime factorization of 7281 and 7296. After we will calculate the factors of 7281 and 7296 and find the biggest common factor number .
Step-1: Prime Factorization of 7281
Prime factors of 7281 are 3, 809. Prime factorization of 7281 in exponential form is:
7281 = 32 × 8091
Step-2: Prime Factorization of 7296
Prime factors of 7296 are 2, 3, 19. Prime factorization of 7296 in exponential form is:
7296 = 27 × 31 × 191
Step-3: Factors of 7281
List of positive integer factors of 7281 that divides 7281 without a remainder.
1, 3, 9, 809, 2427
Step-4: Factors of 7296
List of positive integer factors of 7296 that divides 7281 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7281 and 7296. The biggest common factor number is the GCF number.
So the greatest common factor 7281 and 7296 is 3.
Also check out the Least Common Multiple of 7281 and 7296
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