What is the Greatest Common Factor of 402 and 419?
Greatest common factor (GCF) of 402 and 419 is 1.
GCF(402,419) = 1
We will now calculate the prime factors of 402 and 419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 402 and 419.
How to find the GCF of 402 and 419?
We will first find the prime factorization of 402 and 419. After we will calculate the factors of 402 and 419 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 419
Prime factors of 419 are 419. Prime factorization of 419 in exponential form is:
419 = 4191
Step-3: Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201
Step-4: Factors of 419
List of positive integer factors of 419 that divides 402 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 402 and 419. The biggest common factor number is the GCF number.
So the greatest common factor 402 and 419 is 1.
Also check out the Least Common Multiple of 402 and 419
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
Related Greatest Common Factors of 419
- GCF of 419 and 423
- GCF of 419 and 424
- GCF of 419 and 425
- GCF of 419 and 426
- GCF of 419 and 427
- GCF of 419 and 428
- GCF of 419 and 429
- GCF of 419 and 430
- GCF of 419 and 431
- GCF of 419 and 432
- GCF of 419 and 433
- GCF of 419 and 434
- GCF of 419 and 435
- GCF of 419 and 436
- GCF of 419 and 437
- GCF of 419 and 438
- GCF of 419 and 439