What is the Greatest Common Factor of 364 and 376?
Greatest common factor (GCF) of 364 and 376 is 4.
GCF(364,376) = 4
We will now calculate the prime factors of 364 and 376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 364 and 376.
How to find the GCF of 364 and 376?
We will first find the prime factorization of 364 and 376. After we will calculate the factors of 364 and 376 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 376
Prime factors of 376 are 2, 47. Prime factorization of 376 in exponential form is:
376 = 23 × 471
Step-3: Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182
Step-4: Factors of 376
List of positive integer factors of 376 that divides 364 without a remainder.
1, 2, 4, 8, 47, 94, 188
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 364 and 376. The biggest common factor number is the GCF number.
So the greatest common factor 364 and 376 is 4.
Also check out the Least Common Multiple of 364 and 376
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
Related Greatest Common Factors of 376
- GCF of 376 and 380
- GCF of 376 and 381
- GCF of 376 and 382
- GCF of 376 and 383
- GCF of 376 and 384
- GCF of 376 and 385
- GCF of 376 and 386
- GCF of 376 and 387
- GCF of 376 and 388
- GCF of 376 and 389
- GCF of 376 and 390
- GCF of 376 and 391
- GCF of 376 and 392
- GCF of 376 and 393
- GCF of 376 and 394
- GCF of 376 and 395
- GCF of 376 and 396