What is the Greatest Common Factor of 3247 and 3264?
Greatest common factor (GCF) of 3247 and 3264 is 17.
GCF(3247,3264) = 17
We will now calculate the prime factors of 3247 and 3264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3247 and 3264.
How to find the GCF of 3247 and 3264?
We will first find the prime factorization of 3247 and 3264. After we will calculate the factors of 3247 and 3264 and find the biggest common factor number .
Step-1: Prime Factorization of 3247
Prime factors of 3247 are 17, 191. Prime factorization of 3247 in exponential form is:
3247 = 171 × 1911
Step-2: Prime Factorization of 3264
Prime factors of 3264 are 2, 3, 17. Prime factorization of 3264 in exponential form is:
3264 = 26 × 31 × 171
Step-3: Factors of 3247
List of positive integer factors of 3247 that divides 3247 without a remainder.
1, 17, 191
Step-4: Factors of 3264
List of positive integer factors of 3264 that divides 3247 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3247 and 3264. The biggest common factor number is the GCF number.
So the greatest common factor 3247 and 3264 is 17.
Also check out the Least Common Multiple of 3247 and 3264
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