What is the Greatest Common Factor of 256 and 265?
Greatest common factor (GCF) of 256 and 265 is 1.
GCF(256,265) = 1
We will now calculate the prime factors of 256 and 265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 256 and 265.
How to find the GCF of 256 and 265?
We will first find the prime factorization of 256 and 265. After we will calculate the factors of 256 and 265 and find the biggest common factor number .
Step-1: Prime Factorization of 256
Prime factors of 256 are 2. Prime factorization of 256 in exponential form is:
256 = 28
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 256
List of positive integer factors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Step-4: Factors of 265
List of positive integer factors of 265 that divides 256 without a remainder.
1, 5, 53
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 256 and 265. The biggest common factor number is the GCF number.
So the greatest common factor 256 and 265 is 1.
Also check out the Least Common Multiple of 256 and 265
Related Greatest Common Factors of 256
- GCF of 256 and 260
- GCF of 256 and 261
- GCF of 256 and 262
- GCF of 256 and 263
- GCF of 256 and 264
- GCF of 256 and 265
- GCF of 256 and 266
- GCF of 256 and 267
- GCF of 256 and 268
- GCF of 256 and 269
- GCF of 256 and 270
- GCF of 256 and 271
- GCF of 256 and 272
- GCF of 256 and 273
- GCF of 256 and 274
- GCF of 256 and 275
- GCF of 256 and 276
Related Greatest Common Factors of 265
- GCF of 265 and 269
- GCF of 265 and 270
- GCF of 265 and 271
- GCF of 265 and 272
- GCF of 265 and 273
- GCF of 265 and 274
- GCF of 265 and 275
- GCF of 265 and 276
- GCF of 265 and 277
- GCF of 265 and 278
- GCF of 265 and 279
- GCF of 265 and 280
- GCF of 265 and 281
- GCF of 265 and 282
- GCF of 265 and 283
- GCF of 265 and 284
- GCF of 265 and 285