What is the Greatest Common Factor of 409 and 414?
Greatest common factor (GCF) of 409 and 414 is 1.
GCF(409,414) = 1
We will now calculate the prime factors of 409 and 414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 409 and 414.
How to find the GCF of 409 and 414?
We will first find the prime factorization of 409 and 414. After we will calculate the factors of 409 and 414 and find the biggest common factor number .
Step-1: Prime Factorization of 409
Prime factors of 409 are 409. Prime factorization of 409 in exponential form is:
409 = 4091
Step-2: Prime Factorization of 414
Prime factors of 414 are 2, 3, 23. Prime factorization of 414 in exponential form is:
414 = 21 × 32 × 231
Step-3: Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1
Step-4: Factors of 414
List of positive integer factors of 414 that divides 409 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 409 and 414. The biggest common factor number is the GCF number.
So the greatest common factor 409 and 414 is 1.
Also check out the Least Common Multiple of 409 and 414
Related Greatest Common Factors of 409
- GCF of 409 and 413
- GCF of 409 and 414
- GCF of 409 and 415
- GCF of 409 and 416
- GCF of 409 and 417
- GCF of 409 and 418
- GCF of 409 and 419
- GCF of 409 and 420
- GCF of 409 and 421
- GCF of 409 and 422
- GCF of 409 and 423
- GCF of 409 and 424
- GCF of 409 and 425
- GCF of 409 and 426
- GCF of 409 and 427
- GCF of 409 and 428
- GCF of 409 and 429
Related Greatest Common Factors of 414
- GCF of 414 and 418
- GCF of 414 and 419
- GCF of 414 and 420
- GCF of 414 and 421
- GCF of 414 and 422
- GCF of 414 and 423
- GCF of 414 and 424
- GCF of 414 and 425
- GCF of 414 and 426
- GCF of 414 and 427
- GCF of 414 and 428
- GCF of 414 and 429
- GCF of 414 and 430
- GCF of 414 and 431
- GCF of 414 and 432
- GCF of 414 and 433
- GCF of 414 and 434