What is the Greatest Common Factor of 314 and 321?
Greatest common factor (GCF) of 314 and 321 is 1.
GCF(314,321) = 1
We will now calculate the prime factors of 314 and 321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 314 and 321.
How to find the GCF of 314 and 321?
We will first find the prime factorization of 314 and 321. After we will calculate the factors of 314 and 321 and find the biggest common factor number .
Step-1: Prime Factorization of 314
Prime factors of 314 are 2, 157. Prime factorization of 314 in exponential form is:
314 = 21 × 1571
Step-2: Prime Factorization of 321
Prime factors of 321 are 3, 107. Prime factorization of 321 in exponential form is:
321 = 31 × 1071
Step-3: Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1, 2, 157
Step-4: Factors of 321
List of positive integer factors of 321 that divides 314 without a remainder.
1, 3, 107
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 314 and 321. The biggest common factor number is the GCF number.
So the greatest common factor 314 and 321 is 1.
Also check out the Least Common Multiple of 314 and 321
Related Greatest Common Factors of 314
- GCF of 314 and 318
- GCF of 314 and 319
- GCF of 314 and 320
- GCF of 314 and 321
- GCF of 314 and 322
- GCF of 314 and 323
- GCF of 314 and 324
- GCF of 314 and 325
- GCF of 314 and 326
- GCF of 314 and 327
- GCF of 314 and 328
- GCF of 314 and 329
- GCF of 314 and 330
- GCF of 314 and 331
- GCF of 314 and 332
- GCF of 314 and 333
- GCF of 314 and 334
Related Greatest Common Factors of 321
- GCF of 321 and 325
- GCF of 321 and 326
- GCF of 321 and 327
- GCF of 321 and 328
- GCF of 321 and 329
- GCF of 321 and 330
- GCF of 321 and 331
- GCF of 321 and 332
- GCF of 321 and 333
- GCF of 321 and 334
- GCF of 321 and 335
- GCF of 321 and 336
- GCF of 321 and 337
- GCF of 321 and 338
- GCF of 321 and 339
- GCF of 321 and 340
- GCF of 321 and 341