What is the Greatest Common Factor of 255 and 260?
Greatest common factor (GCF) of 255 and 260 is 5.
GCF(255,260) = 5
We will now calculate the prime factors of 255 and 260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 255 and 260.
How to find the GCF of 255 and 260?
We will first find the prime factorization of 255 and 260. After we will calculate the factors of 255 and 260 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 260
Prime factors of 260 are 2, 5, 13. Prime factorization of 260 in exponential form is:
260 = 22 × 51 × 131
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 260
List of positive integer factors of 260 that divides 255 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 255 and 260. The biggest common factor number is the GCF number.
So the greatest common factor 255 and 260 is 5.
Also check out the Least Common Multiple of 255 and 260
Related Greatest Common Factors of 255
- GCF of 255 and 259
- GCF of 255 and 260
- GCF of 255 and 261
- GCF of 255 and 262
- GCF of 255 and 263
- GCF of 255 and 264
- GCF of 255 and 265
- GCF of 255 and 266
- GCF of 255 and 267
- GCF of 255 and 268
- GCF of 255 and 269
- GCF of 255 and 270
- GCF of 255 and 271
- GCF of 255 and 272
- GCF of 255 and 273
- GCF of 255 and 274
- GCF of 255 and 275
Related Greatest Common Factors of 260
- GCF of 260 and 264
- GCF of 260 and 265
- GCF of 260 and 266
- GCF of 260 and 267
- GCF of 260 and 268
- GCF of 260 and 269
- GCF of 260 and 270
- GCF of 260 and 271
- GCF of 260 and 272
- GCF of 260 and 273
- GCF of 260 and 274
- GCF of 260 and 275
- GCF of 260 and 276
- GCF of 260 and 277
- GCF of 260 and 278
- GCF of 260 and 279
- GCF of 260 and 280