What is the Greatest Common Factor of 359 and 364?
Greatest common factor (GCF) of 359 and 364 is 1.
GCF(359,364) = 1
We will now calculate the prime factors of 359 and 364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 359 and 364.
How to find the GCF of 359 and 364?
We will first find the prime factorization of 359 and 364. After we will calculate the factors of 359 and 364 and find the biggest common factor number .
Step-1: Prime Factorization of 359
Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:
359 = 3591
Step-2: Prime Factorization of 364
Prime factors of 364 are 2, 7, 13. Prime factorization of 364 in exponential form is:
364 = 22 × 71 × 131
Step-3: Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1
Step-4: Factors of 364
List of positive integer factors of 364 that divides 359 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 359 and 364. The biggest common factor number is the GCF number.
So the greatest common factor 359 and 364 is 1.
Also check out the Least Common Multiple of 359 and 364
Related Greatest Common Factors of 359
- GCF of 359 and 363
- GCF of 359 and 364
- GCF of 359 and 365
- GCF of 359 and 366
- GCF of 359 and 367
- GCF of 359 and 368
- GCF of 359 and 369
- GCF of 359 and 370
- GCF of 359 and 371
- GCF of 359 and 372
- GCF of 359 and 373
- GCF of 359 and 374
- GCF of 359 and 375
- GCF of 359 and 376
- GCF of 359 and 377
- GCF of 359 and 378
- GCF of 359 and 379
Related Greatest Common Factors of 364
- GCF of 364 and 368
- GCF of 364 and 369
- GCF of 364 and 370
- GCF of 364 and 371
- GCF of 364 and 372
- GCF of 364 and 373
- GCF of 364 and 374
- GCF of 364 and 375
- GCF of 364 and 376
- GCF of 364 and 377
- GCF of 364 and 378
- GCF of 364 and 379
- GCF of 364 and 380
- GCF of 364 and 381
- GCF of 364 and 382
- GCF of 364 and 383
- GCF of 364 and 384