What is the Greatest Common Factor of 261 and 269?
Greatest common factor (GCF) of 261 and 269 is 1.
GCF(261,269) = 1
We will now calculate the prime factors of 261 and 269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 261 and 269.
How to find the GCF of 261 and 269?
We will first find the prime factorization of 261 and 269. After we will calculate the factors of 261 and 269 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 269
Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:
269 = 2691
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 269
List of positive integer factors of 269 that divides 261 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 261 and 269. The biggest common factor number is the GCF number.
So the greatest common factor 261 and 269 is 1.
Also check out the Least Common Multiple of 261 and 269
Related Greatest Common Factors of 261
- GCF of 261 and 265
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- GCF of 261 and 269
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Related Greatest Common Factors of 269
- GCF of 269 and 273
- GCF of 269 and 274
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- GCF of 269 and 279
- GCF of 269 and 280
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- GCF of 269 and 286
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- GCF of 269 and 288
- GCF of 269 and 289