What is the Greatest Common Factor of 460 and 471?
Greatest common factor (GCF) of 460 and 471 is 1.
GCF(460,471) = 1
We will now calculate the prime factors of 460 and 471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 460 and 471.
How to find the GCF of 460 and 471?
We will first find the prime factorization of 460 and 471. After we will calculate the factors of 460 and 471 and find the biggest common factor number .
Step-1: Prime Factorization of 460
Prime factors of 460 are 2, 5, 23. Prime factorization of 460 in exponential form is:
460 = 22 × 51 × 231
Step-2: Prime Factorization of 471
Prime factors of 471 are 3, 157. Prime factorization of 471 in exponential form is:
471 = 31 × 1571
Step-3: Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230
Step-4: Factors of 471
List of positive integer factors of 471 that divides 460 without a remainder.
1, 3, 157
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 460 and 471. The biggest common factor number is the GCF number.
So the greatest common factor 460 and 471 is 1.
Also check out the Least Common Multiple of 460 and 471
Related Greatest Common Factors of 460
- GCF of 460 and 464
- GCF of 460 and 465
- GCF of 460 and 466
- GCF of 460 and 467
- GCF of 460 and 468
- GCF of 460 and 469
- GCF of 460 and 470
- GCF of 460 and 471
- GCF of 460 and 472
- GCF of 460 and 473
- GCF of 460 and 474
- GCF of 460 and 475
- GCF of 460 and 476
- GCF of 460 and 477
- GCF of 460 and 478
- GCF of 460 and 479
- GCF of 460 and 480
Related Greatest Common Factors of 471
- GCF of 471 and 475
- GCF of 471 and 476
- GCF of 471 and 477
- GCF of 471 and 478
- GCF of 471 and 479
- GCF of 471 and 480
- GCF of 471 and 481
- GCF of 471 and 482
- GCF of 471 and 483
- GCF of 471 and 484
- GCF of 471 and 485
- GCF of 471 and 486
- GCF of 471 and 487
- GCF of 471 and 488
- GCF of 471 and 489
- GCF of 471 and 490
- GCF of 471 and 491