What is the Greatest Common Factor of 462 and 478?
Greatest common factor (GCF) of 462 and 478 is 2.
GCF(462,478) = 2
We will now calculate the prime factors of 462 and 478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 462 and 478.
How to find the GCF of 462 and 478?
We will first find the prime factorization of 462 and 478. After we will calculate the factors of 462 and 478 and find the biggest common factor number .
Step-1: Prime Factorization of 462
Prime factors of 462 are 2, 3, 7, 11. Prime factorization of 462 in exponential form is:
462 = 21 × 31 × 71 × 111
Step-2: Prime Factorization of 478
Prime factors of 478 are 2, 239. Prime factorization of 478 in exponential form is:
478 = 21 × 2391
Step-3: Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231
Step-4: Factors of 478
List of positive integer factors of 478 that divides 462 without a remainder.
1, 2, 239
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 462 and 478. The biggest common factor number is the GCF number.
So the greatest common factor 462 and 478 is 2.
Also check out the Least Common Multiple of 462 and 478
Related Greatest Common Factors of 462
- GCF of 462 and 466
- GCF of 462 and 467
- GCF of 462 and 468
- GCF of 462 and 469
- GCF of 462 and 470
- GCF of 462 and 471
- GCF of 462 and 472
- GCF of 462 and 473
- GCF of 462 and 474
- GCF of 462 and 475
- GCF of 462 and 476
- GCF of 462 and 477
- GCF of 462 and 478
- GCF of 462 and 479
- GCF of 462 and 480
- GCF of 462 and 481
- GCF of 462 and 482
Related Greatest Common Factors of 478
- GCF of 478 and 482
- GCF of 478 and 483
- GCF of 478 and 484
- GCF of 478 and 485
- GCF of 478 and 486
- GCF of 478 and 487
- GCF of 478 and 488
- GCF of 478 and 489
- GCF of 478 and 490
- GCF of 478 and 491
- GCF of 478 and 492
- GCF of 478 and 493
- GCF of 478 and 494
- GCF of 478 and 495
- GCF of 478 and 496
- GCF of 478 and 497
- GCF of 478 and 498