What is the Greatest Common Factor of 242 and 249?
Greatest common factor (GCF) of 242 and 249 is 1.
GCF(242,249) = 1
We will now calculate the prime factors of 242 and 249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 242 and 249.
How to find the GCF of 242 and 249?
We will first find the prime factorization of 242 and 249. After we will calculate the factors of 242 and 249 and find the biggest common factor number .
Step-1: Prime Factorization of 242
Prime factors of 242 are 2, 11. Prime factorization of 242 in exponential form is:
242 = 21 × 112
Step-2: Prime Factorization of 249
Prime factors of 249 are 3, 83. Prime factorization of 249 in exponential form is:
249 = 31 × 831
Step-3: Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121
Step-4: Factors of 249
List of positive integer factors of 249 that divides 242 without a remainder.
1, 3, 83
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 242 and 249. The biggest common factor number is the GCF number.
So the greatest common factor 242 and 249 is 1.
Also check out the Least Common Multiple of 242 and 249
Related Greatest Common Factors of 242
- GCF of 242 and 246
- GCF of 242 and 247
- GCF of 242 and 248
- GCF of 242 and 249
- GCF of 242 and 250
- GCF of 242 and 251
- GCF of 242 and 252
- GCF of 242 and 253
- GCF of 242 and 254
- GCF of 242 and 255
- GCF of 242 and 256
- GCF of 242 and 257
- GCF of 242 and 258
- GCF of 242 and 259
- GCF of 242 and 260
- GCF of 242 and 261
- GCF of 242 and 262
Related Greatest Common Factors of 249
- GCF of 249 and 253
- GCF of 249 and 254
- GCF of 249 and 255
- GCF of 249 and 256
- GCF of 249 and 257
- GCF of 249 and 258
- GCF of 249 and 259
- GCF of 249 and 260
- GCF of 249 and 261
- GCF of 249 and 262
- GCF of 249 and 263
- GCF of 249 and 264
- GCF of 249 and 265
- GCF of 249 and 266
- GCF of 249 and 267
- GCF of 249 and 268
- GCF of 249 and 269