What is the Greatest Common Factor of 261 and 271?
Greatest common factor (GCF) of 261 and 271 is 1.
GCF(261,271) = 1
We will now calculate the prime factors of 261 and 271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 261 and 271.
How to find the GCF of 261 and 271?
We will first find the prime factorization of 261 and 271. After we will calculate the factors of 261 and 271 and find the biggest common factor number .
Step-1: Prime Factorization of 261
Prime factors of 261 are 3, 29. Prime factorization of 261 in exponential form is:
261 = 32 × 291
Step-2: Prime Factorization of 271
Prime factors of 271 are 271. Prime factorization of 271 in exponential form is:
271 = 2711
Step-3: Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87
Step-4: Factors of 271
List of positive integer factors of 271 that divides 261 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 261 and 271. The biggest common factor number is the GCF number.
So the greatest common factor 261 and 271 is 1.
Also check out the Least Common Multiple of 261 and 271
Related Greatest Common Factors of 261
- GCF of 261 and 265
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- GCF of 261 and 270
- GCF of 261 and 271
- GCF of 261 and 272
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Related Greatest Common Factors of 271
- GCF of 271 and 275
- GCF of 271 and 276
- GCF of 271 and 277
- GCF of 271 and 278
- GCF of 271 and 279
- GCF of 271 and 280
- GCF of 271 and 281
- GCF of 271 and 282
- GCF of 271 and 283
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- GCF of 271 and 285
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- GCF of 271 and 287
- GCF of 271 and 288
- GCF of 271 and 289
- GCF of 271 and 290
- GCF of 271 and 291