What is the Greatest Common Factor of 17530 and 17550?
Greatest common factor (GCF) of 17530 and 17550 is 10.
GCF(17530,17550) = 10
We will now calculate the prime factors of 17530 and 17550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17530 and 17550.
How to find the GCF of 17530 and 17550?
We will first find the prime factorization of 17530 and 17550. After we will calculate the factors of 17530 and 17550 and find the biggest common factor number .
Step-1: Prime Factorization of 17530
Prime factors of 17530 are 2, 5, 1753. Prime factorization of 17530 in exponential form is:
17530 = 21 × 51 × 17531
Step-2: Prime Factorization of 17550
Prime factors of 17550 are 2, 3, 5, 13. Prime factorization of 17550 in exponential form is:
17550 = 21 × 33 × 52 × 131
Step-3: Factors of 17530
List of positive integer factors of 17530 that divides 17530 without a remainder.
1, 2, 5, 10, 1753, 3506, 8765
Step-4: Factors of 17550
List of positive integer factors of 17550 that divides 17530 without a remainder.
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 27, 30, 39, 45, 50, 54, 65, 75, 78, 90, 117, 130, 135, 150, 195, 225, 234, 270, 325, 351, 390, 450, 585, 650, 675, 702, 975, 1170, 1350, 1755, 1950, 2925, 3510, 5850, 8775
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 17530 and 17550. The biggest common factor number is the GCF number.
So the greatest common factor 17530 and 17550 is 10.
Also check out the Least Common Multiple of 17530 and 17550
Related Greatest Common Factors of 17530
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- GCF of 17530 and 17545
- GCF of 17530 and 17546
- GCF of 17530 and 17547
- GCF of 17530 and 17548
- GCF of 17530 and 17549
- GCF of 17530 and 17550
Related Greatest Common Factors of 17550
- GCF of 17550 and 17554
- GCF of 17550 and 17555
- GCF of 17550 and 17556
- GCF of 17550 and 17557
- GCF of 17550 and 17558
- GCF of 17550 and 17559
- GCF of 17550 and 17560
- GCF of 17550 and 17561
- GCF of 17550 and 17562
- GCF of 17550 and 17563
- GCF of 17550 and 17564
- GCF of 17550 and 17565
- GCF of 17550 and 17566
- GCF of 17550 and 17567
- GCF of 17550 and 17568
- GCF of 17550 and 17569
- GCF of 17550 and 17570