What is the Greatest Common Factor of 17490 and 17495?
Greatest common factor (GCF) of 17490 and 17495 is 5.
GCF(17490,17495) = 5
We will now calculate the prime factors of 17490 and 17495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17490 and 17495.
How to find the GCF of 17490 and 17495?
We will first find the prime factorization of 17490 and 17495. After we will calculate the factors of 17490 and 17495 and find the biggest common factor number .
Step-1: Prime Factorization of 17490
Prime factors of 17490 are 2, 3, 5, 11, 53. Prime factorization of 17490 in exponential form is:
17490 = 21 × 31 × 51 × 111 × 531
Step-2: Prime Factorization of 17495
Prime factors of 17495 are 5, 3499. Prime factorization of 17495 in exponential form is:
17495 = 51 × 34991
Step-3: Factors of 17490
List of positive integer factors of 17490 that divides 17490 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 53, 55, 66, 106, 110, 159, 165, 265, 318, 330, 530, 583, 795, 1166, 1590, 1749, 2915, 3498, 5830, 8745
Step-4: Factors of 17495
List of positive integer factors of 17495 that divides 17490 without a remainder.
1, 5, 3499
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 17490 and 17495. The biggest common factor number is the GCF number.
So the greatest common factor 17490 and 17495 is 5.
Also check out the Least Common Multiple of 17490 and 17495
Related Greatest Common Factors of 17490
- GCF of 17490 and 17494
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- GCF of 17490 and 17497
- GCF of 17490 and 17498
- GCF of 17490 and 17499
- GCF of 17490 and 17500
- GCF of 17490 and 17501
- GCF of 17490 and 17502
- GCF of 17490 and 17503
- GCF of 17490 and 17504
- GCF of 17490 and 17505
- GCF of 17490 and 17506
- GCF of 17490 and 17507
- GCF of 17490 and 17508
- GCF of 17490 and 17509
- GCF of 17490 and 17510
Related Greatest Common Factors of 17495
- GCF of 17495 and 17499
- GCF of 17495 and 17500
- GCF of 17495 and 17501
- GCF of 17495 and 17502
- GCF of 17495 and 17503
- GCF of 17495 and 17504
- GCF of 17495 and 17505
- GCF of 17495 and 17506
- GCF of 17495 and 17507
- GCF of 17495 and 17508
- GCF of 17495 and 17509
- GCF of 17495 and 17510
- GCF of 17495 and 17511
- GCF of 17495 and 17512
- GCF of 17495 and 17513
- GCF of 17495 and 17514
- GCF of 17495 and 17515