What is the Greatest Common Factor of 235 and 254?
Greatest common factor (GCF) of 235 and 254 is 1.
GCF(235,254) = 1
We will now calculate the prime factors of 235 and 254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 235 and 254.
How to find the GCF of 235 and 254?
We will first find the prime factorization of 235 and 254. After we will calculate the factors of 235 and 254 and find the biggest common factor number .
Step-1: Prime Factorization of 235
Prime factors of 235 are 5, 47. Prime factorization of 235 in exponential form is:
235 = 51 × 471
Step-2: Prime Factorization of 254
Prime factors of 254 are 2, 127. Prime factorization of 254 in exponential form is:
254 = 21 × 1271
Step-3: Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1, 5, 47
Step-4: Factors of 254
List of positive integer factors of 254 that divides 235 without a remainder.
1, 2, 127
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 235 and 254. The biggest common factor number is the GCF number.
So the greatest common factor 235 and 254 is 1.
Also check out the Least Common Multiple of 235 and 254
Related Greatest Common Factors of 235
- GCF of 235 and 239
- GCF of 235 and 240
- GCF of 235 and 241
- GCF of 235 and 242
- GCF of 235 and 243
- GCF of 235 and 244
- GCF of 235 and 245
- GCF of 235 and 246
- GCF of 235 and 247
- GCF of 235 and 248
- GCF of 235 and 249
- GCF of 235 and 250
- GCF of 235 and 251
- GCF of 235 and 252
- GCF of 235 and 253
- GCF of 235 and 254
- GCF of 235 and 255
Related Greatest Common Factors of 254
- GCF of 254 and 258
- GCF of 254 and 259
- GCF of 254 and 260
- GCF of 254 and 261
- GCF of 254 and 262
- GCF of 254 and 263
- GCF of 254 and 264
- GCF of 254 and 265
- GCF of 254 and 266
- GCF of 254 and 267
- GCF of 254 and 268
- GCF of 254 and 269
- GCF of 254 and 270
- GCF of 254 and 271
- GCF of 254 and 272
- GCF of 254 and 273
- GCF of 254 and 274