What is the Greatest Common Factor of 241 and 256?
Greatest common factor (GCF) of 241 and 256 is 1.
GCF(241,256) = 1
We will now calculate the prime factors of 241 and 256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 241 and 256.
How to find the GCF of 241 and 256?
We will first find the prime factorization of 241 and 256. After we will calculate the factors of 241 and 256 and find the biggest common factor number .
Step-1: Prime Factorization of 241
Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:
241 = 2411
Step-2: Prime Factorization of 256
Prime factors of 256 are 2. Prime factorization of 256 in exponential form is:
256 = 28
Step-3: Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1
Step-4: Factors of 256
List of positive integer factors of 256 that divides 241 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 241 and 256. The biggest common factor number is the GCF number.
So the greatest common factor 241 and 256 is 1.
Also check out the Least Common Multiple of 241 and 256
Related Greatest Common Factors of 241
- GCF of 241 and 245
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- GCF of 241 and 247
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- GCF of 241 and 249
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- GCF of 241 and 255
- GCF of 241 and 256
- GCF of 241 and 257
- GCF of 241 and 258
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Related Greatest Common Factors of 256
- GCF of 256 and 260
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