What is the Greatest Common Factor of 261 and 274?
Greatest common factor (GCF) of 261 and 274 is 1.
GCF(261,274) = 1
We will now calculate the prime factors of 261 and 274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 261 and 274.
How to find the GCF of 261 and 274?
We will first find the prime factorization of 261 and 274. After we will calculate the factors of 261 and 274 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 274
Prime factors of 274 are 2, 137. Prime factorization of 274 in exponential form is:
274 = 21 × 1371
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 274
List of positive integer factors of 274 that divides 261 without a remainder.
1, 2, 137
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 261 and 274. The biggest common factor number is the GCF number.
So the greatest common factor 261 and 274 is 1.
Also check out the Least Common Multiple of 261 and 274
Related Greatest Common Factors of 261
- GCF of 261 and 265
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- GCF of 261 and 274
- GCF of 261 and 275
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Related Greatest Common Factors of 274
- GCF of 274 and 278
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