What is the Greatest Common Factor of 301 and 309?
Greatest common factor (GCF) of 301 and 309 is 1.
GCF(301,309) = 1
We will now calculate the prime factors of 301 and 309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 301 and 309.
How to find the GCF of 301 and 309?
We will first find the prime factorization of 301 and 309. After we will calculate the factors of 301 and 309 and find the biggest common factor number .
Step-1: Prime Factorization of 301
Prime factors of 301 are 7, 43. Prime factorization of 301 in exponential form is:
301 = 71 × 431
Step-2: Prime Factorization of 309
Prime factors of 309 are 3, 103. Prime factorization of 309 in exponential form is:
309 = 31 × 1031
Step-3: Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1, 7, 43
Step-4: Factors of 309
List of positive integer factors of 309 that divides 301 without a remainder.
1, 3, 103
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 301 and 309. The biggest common factor number is the GCF number.
So the greatest common factor 301 and 309 is 1.
Also check out the Least Common Multiple of 301 and 309
Related Greatest Common Factors of 301
- GCF of 301 and 305
- GCF of 301 and 306
- GCF of 301 and 307
- GCF of 301 and 308
- GCF of 301 and 309
- GCF of 301 and 310
- GCF of 301 and 311
- GCF of 301 and 312
- GCF of 301 and 313
- GCF of 301 and 314
- GCF of 301 and 315
- GCF of 301 and 316
- GCF of 301 and 317
- GCF of 301 and 318
- GCF of 301 and 319
- GCF of 301 and 320
- GCF of 301 and 321
Related Greatest Common Factors of 309
- GCF of 309 and 313
- GCF of 309 and 314
- GCF of 309 and 315
- GCF of 309 and 316
- GCF of 309 and 317
- GCF of 309 and 318
- GCF of 309 and 319
- GCF of 309 and 320
- GCF of 309 and 321
- GCF of 309 and 322
- GCF of 309 and 323
- GCF of 309 and 324
- GCF of 309 and 325
- GCF of 309 and 326
- GCF of 309 and 327
- GCF of 309 and 328
- GCF of 309 and 329