What is the Greatest Common Factor of 255 and 275?
Greatest common factor (GCF) of 255 and 275 is 5.
GCF(255,275) = 5
We will now calculate the prime factors of 255 and 275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 255 and 275.
How to find the GCF of 255 and 275?
We will first find the prime factorization of 255 and 275. After we will calculate the factors of 255 and 275 and find the biggest common factor number .
Step-1: Prime Factorization of 255
Prime factors of 255 are 3, 5, 17. Prime factorization of 255 in exponential form is:
255 = 31 × 51 × 171
Step-2: Prime Factorization of 275
Prime factors of 275 are 5, 11. Prime factorization of 275 in exponential form is:
275 = 52 × 111
Step-3: Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85
Step-4: Factors of 275
List of positive integer factors of 275 that divides 255 without a remainder.
1, 5, 11, 25, 55
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 255 and 275. The biggest common factor number is the GCF number.
So the greatest common factor 255 and 275 is 5.
Also check out the Least Common Multiple of 255 and 275
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