What is the Greatest Common Factor of 261 and 265?
Greatest common factor (GCF) of 261 and 265 is 1.
GCF(261,265) = 1
We will now calculate the prime factors of 261 and 265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 261 and 265.
How to find the GCF of 261 and 265?
We will first find the prime factorization of 261 and 265. After we will calculate the factors of 261 and 265 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 265
Prime factors of 265 are 5, 53. Prime factorization of 265 in exponential form is:
265 = 51 × 531
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 265
List of positive integer factors of 265 that divides 261 without a remainder.
1, 5, 53
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 261 and 265. The biggest common factor number is the GCF number.
So the greatest common factor 261 and 265 is 1.
Also check out the Least Common Multiple of 261 and 265
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