What is the Greatest Common Factor of 282 and 302?
Greatest common factor (GCF) of 282 and 302 is 2.
GCF(282,302) = 2
We will now calculate the prime factors of 282 and 302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 282 and 302.
How to find the GCF of 282 and 302?
We will first find the prime factorization of 282 and 302. After we will calculate the factors of 282 and 302 and find the biggest common factor number .
Step-1: Prime Factorization of 282
Prime factors of 282 are 2, 3, 47. Prime factorization of 282 in exponential form is:
282 = 21 × 31 × 471
Step-2: Prime Factorization of 302
Prime factors of 302 are 2, 151. Prime factorization of 302 in exponential form is:
302 = 21 × 1511
Step-3: Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141
Step-4: Factors of 302
List of positive integer factors of 302 that divides 282 without a remainder.
1, 2, 151
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 282 and 302. The biggest common factor number is the GCF number.
So the greatest common factor 282 and 302 is 2.
Also check out the Least Common Multiple of 282 and 302
Related Greatest Common Factors of 282
- GCF of 282 and 286
- GCF of 282 and 287
- GCF of 282 and 288
- GCF of 282 and 289
- GCF of 282 and 290
- GCF of 282 and 291
- GCF of 282 and 292
- GCF of 282 and 293
- GCF of 282 and 294
- GCF of 282 and 295
- GCF of 282 and 296
- GCF of 282 and 297
- GCF of 282 and 298
- GCF of 282 and 299
- GCF of 282 and 300
- GCF of 282 and 301
- GCF of 282 and 302
Related Greatest Common Factors of 302
- GCF of 302 and 306
- GCF of 302 and 307
- GCF of 302 and 308
- GCF of 302 and 309
- GCF of 302 and 310
- GCF of 302 and 311
- GCF of 302 and 312
- GCF of 302 and 313
- GCF of 302 and 314
- GCF of 302 and 315
- GCF of 302 and 316
- GCF of 302 and 317
- GCF of 302 and 318
- GCF of 302 and 319
- GCF of 302 and 320
- GCF of 302 and 321
- GCF of 302 and 322