What is the Greatest Common Factor of 462 and 468?
Greatest common factor (GCF) of 462 and 468 is 6.
GCF(462,468) = 6
We will now calculate the prime factors of 462 and 468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 462 and 468.
How to find the GCF of 462 and 468?
We will first find the prime factorization of 462 and 468. After we will calculate the factors of 462 and 468 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 468
Prime factors of 468 are 2, 3, 13. Prime factorization of 468 in exponential form is:
468 = 22 × 32 × 131
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 468
List of positive integer factors of 468 that divides 462 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 462 and 468. The biggest common factor number is the GCF number.
So the greatest common factor 462 and 468 is 6.
Also check out the Least Common Multiple of 462 and 468
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 468
- GCF of 468 and 472
- GCF of 468 and 473
- GCF of 468 and 474
- GCF of 468 and 475
- GCF of 468 and 476
- GCF of 468 and 477
- GCF of 468 and 478
- GCF of 468 and 479
- GCF of 468 and 480
- GCF of 468 and 481
- GCF of 468 and 482
- GCF of 468 and 483
- GCF of 468 and 484
- GCF of 468 and 485
- GCF of 468 and 486
- GCF of 468 and 487
- GCF of 468 and 488