What is the Greatest Common Factor of 393 and 402?
Greatest common factor (GCF) of 393 and 402 is 3.
GCF(393,402) = 3
We will now calculate the prime factors of 393 and 402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 393 and 402.
How to find the GCF of 393 and 402?
We will first find the prime factorization of 393 and 402. After we will calculate the factors of 393 and 402 and find the biggest common factor number .
Step-1: Prime Factorization of 393
Prime factors of 393 are 3, 131. Prime factorization of 393 in exponential form is:
393 = 31 × 1311
Step-2: Prime Factorization of 402
Prime factors of 402 are 2, 3, 67. Prime factorization of 402 in exponential form is:
402 = 21 × 31 × 671
Step-3: Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1, 3, 131
Step-4: Factors of 402
List of positive integer factors of 402 that divides 393 without a remainder.
1, 2, 3, 6, 67, 134, 201
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 393 and 402. The biggest common factor number is the GCF number.
So the greatest common factor 393 and 402 is 3.
Also check out the Least Common Multiple of 393 and 402
Related Greatest Common Factors of 393
- GCF of 393 and 397
- GCF of 393 and 398
- GCF of 393 and 399
- GCF of 393 and 400
- GCF of 393 and 401
- GCF of 393 and 402
- GCF of 393 and 403
- GCF of 393 and 404
- GCF of 393 and 405
- GCF of 393 and 406
- GCF of 393 and 407
- GCF of 393 and 408
- GCF of 393 and 409
- GCF of 393 and 410
- GCF of 393 and 411
- GCF of 393 and 412
- GCF of 393 and 413
Related Greatest Common Factors of 402
- GCF of 402 and 406
- GCF of 402 and 407
- GCF of 402 and 408
- GCF of 402 and 409
- GCF of 402 and 410
- GCF of 402 and 411
- GCF of 402 and 412
- GCF of 402 and 413
- GCF of 402 and 414
- GCF of 402 and 415
- GCF of 402 and 416
- GCF of 402 and 417
- GCF of 402 and 418
- GCF of 402 and 419
- GCF of 402 and 420
- GCF of 402 and 421
- GCF of 402 and 422