What is the Greatest Common Factor of 16560 and 16580?
Greatest common factor (GCF) of 16560 and 16580 is 20.
GCF(16560,16580) = 20
We will now calculate the prime factors of 16560 and 16580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16560 and 16580.
How to find the GCF of 16560 and 16580?
We will first find the prime factorization of 16560 and 16580. After we will calculate the factors of 16560 and 16580 and find the biggest common factor number .
Step-1: Prime Factorization of 16560
Prime factors of 16560 are 2, 3, 5, 23. Prime factorization of 16560 in exponential form is:
16560 = 24 × 32 × 51 × 231
Step-2: Prime Factorization of 16580
Prime factors of 16580 are 2, 5, 829. Prime factorization of 16580 in exponential form is:
16580 = 22 × 51 × 8291
Step-3: Factors of 16560
List of positive integer factors of 16560 that divides 16560 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 30, 36, 40, 45, 46, 48, 60, 69, 72, 80, 90, 92, 115, 120, 138, 144, 180, 184, 207, 230, 240, 276, 345, 360, 368, 414, 460, 552, 690, 720, 828, 920, 1035, 1104, 1380, 1656, 1840, 2070, 2760, 3312, 4140, 5520, 8280
Step-4: Factors of 16580
List of positive integer factors of 16580 that divides 16560 without a remainder.
1, 2, 4, 5, 10, 20, 829, 1658, 3316, 4145, 8290
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16560 and 16580. The biggest common factor number is the GCF number.
So the greatest common factor 16560 and 16580 is 20.
Also check out the Least Common Multiple of 16560 and 16580
Related Greatest Common Factors of 16560
- GCF of 16560 and 16564
- GCF of 16560 and 16565
- GCF of 16560 and 16566
- GCF of 16560 and 16567
- GCF of 16560 and 16568
- GCF of 16560 and 16569
- GCF of 16560 and 16570
- GCF of 16560 and 16571
- GCF of 16560 and 16572
- GCF of 16560 and 16573
- GCF of 16560 and 16574
- GCF of 16560 and 16575
- GCF of 16560 and 16576
- GCF of 16560 and 16577
- GCF of 16560 and 16578
- GCF of 16560 and 16579
- GCF of 16560 and 16580
Related Greatest Common Factors of 16580
- GCF of 16580 and 16584
- GCF of 16580 and 16585
- GCF of 16580 and 16586
- GCF of 16580 and 16587
- GCF of 16580 and 16588
- GCF of 16580 and 16589
- GCF of 16580 and 16590
- GCF of 16580 and 16591
- GCF of 16580 and 16592
- GCF of 16580 and 16593
- GCF of 16580 and 16594
- GCF of 16580 and 16595
- GCF of 16580 and 16596
- GCF of 16580 and 16597
- GCF of 16580 and 16598
- GCF of 16580 and 16599
- GCF of 16580 and 16600