What is the Greatest Common Factor of 3256 and 3267?
Greatest common factor (GCF) of 3256 and 3267 is 11.
GCF(3256,3267) = 11
We will now calculate the prime factors of 3256 and 3267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3256 and 3267.
How to find the GCF of 3256 and 3267?
We will first find the prime factorization of 3256 and 3267. After we will calculate the factors of 3256 and 3267 and find the biggest common factor number .
Step-1: Prime Factorization of 3256
Prime factors of 3256 are 2, 11, 37. Prime factorization of 3256 in exponential form is:
3256 = 23 × 111 × 371
Step-2: Prime Factorization of 3267
Prime factors of 3267 are 3, 11. Prime factorization of 3267 in exponential form is:
3267 = 33 × 112
Step-3: Factors of 3256
List of positive integer factors of 3256 that divides 3256 without a remainder.
1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628
Step-4: Factors of 3267
List of positive integer factors of 3267 that divides 3256 without a remainder.
1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3256 and 3267. The biggest common factor number is the GCF number.
So the greatest common factor 3256 and 3267 is 11.
Also check out the Least Common Multiple of 3256 and 3267
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