What is the Greatest Common Factor of 465 and 469?
Greatest common factor (GCF) of 465 and 469 is 1.
GCF(465,469) = 1
We will now calculate the prime factors of 465 and 469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 465 and 469.
How to find the GCF of 465 and 469?
We will first find the prime factorization of 465 and 469. After we will calculate the factors of 465 and 469 and find the biggest common factor number .
Step-1: Prime Factorization of 465
Prime factors of 465 are 3, 5, 31. Prime factorization of 465 in exponential form is:
465 = 31 × 51 × 311
Step-2: Prime Factorization of 469
Prime factors of 469 are 7, 67. Prime factorization of 469 in exponential form is:
469 = 71 × 671
Step-3: Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155
Step-4: Factors of 469
List of positive integer factors of 469 that divides 465 without a remainder.
1, 7, 67
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 465 and 469. The biggest common factor number is the GCF number.
So the greatest common factor 465 and 469 is 1.
Also check out the Least Common Multiple of 465 and 469
Related Greatest Common Factors of 465
- GCF of 465 and 469
- GCF of 465 and 470
- GCF of 465 and 471
- GCF of 465 and 472
- GCF of 465 and 473
- GCF of 465 and 474
- GCF of 465 and 475
- GCF of 465 and 476
- GCF of 465 and 477
- GCF of 465 and 478
- GCF of 465 and 479
- GCF of 465 and 480
- GCF of 465 and 481
- GCF of 465 and 482
- GCF of 465 and 483
- GCF of 465 and 484
- GCF of 465 and 485
Related Greatest Common Factors of 469
- GCF of 469 and 473
- GCF of 469 and 474
- GCF of 469 and 475
- GCF of 469 and 476
- GCF of 469 and 477
- GCF of 469 and 478
- GCF of 469 and 479
- GCF of 469 and 480
- GCF of 469 and 481
- GCF of 469 and 482
- GCF of 469 and 483
- GCF of 469 and 484
- GCF of 469 and 485
- GCF of 469 and 486
- GCF of 469 and 487
- GCF of 469 and 488
- GCF of 469 and 489