What is the Greatest Common Factor of 428 and 440?
Greatest common factor (GCF) of 428 and 440 is 4.
GCF(428,440) = 4
We will now calculate the prime factors of 428 and 440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 428 and 440.
How to find the GCF of 428 and 440?
We will first find the prime factorization of 428 and 440. After we will calculate the factors of 428 and 440 and find the biggest common factor number .
Step-1: Prime Factorization of 428
Prime factors of 428 are 2, 107. Prime factorization of 428 in exponential form is:
428 = 22 × 1071
Step-2: Prime Factorization of 440
Prime factors of 440 are 2, 5, 11. Prime factorization of 440 in exponential form is:
440 = 23 × 51 × 111
Step-3: Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214
Step-4: Factors of 440
List of positive integer factors of 440 that divides 428 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 428 and 440. The biggest common factor number is the GCF number.
So the greatest common factor 428 and 440 is 4.
Also check out the Least Common Multiple of 428 and 440
Related Greatest Common Factors of 428
- GCF of 428 and 432
- GCF of 428 and 433
- GCF of 428 and 434
- GCF of 428 and 435
- GCF of 428 and 436
- GCF of 428 and 437
- GCF of 428 and 438
- GCF of 428 and 439
- GCF of 428 and 440
- GCF of 428 and 441
- GCF of 428 and 442
- GCF of 428 and 443
- GCF of 428 and 444
- GCF of 428 and 445
- GCF of 428 and 446
- GCF of 428 and 447
- GCF of 428 and 448
Related Greatest Common Factors of 440
- GCF of 440 and 444
- GCF of 440 and 445
- GCF of 440 and 446
- GCF of 440 and 447
- GCF of 440 and 448
- GCF of 440 and 449
- GCF of 440 and 450
- GCF of 440 and 451
- GCF of 440 and 452
- GCF of 440 and 453
- GCF of 440 and 454
- GCF of 440 and 455
- GCF of 440 and 456
- GCF of 440 and 457
- GCF of 440 and 458
- GCF of 440 and 459
- GCF of 440 and 460