What is the Greatest Common Factor of 16564 and 16583?
Greatest common factor (GCF) of 16564 and 16583 is 1.
GCF(16564,16583) = 1
We will now calculate the prime factors of 16564 and 16583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16564 and 16583.
How to find the GCF of 16564 and 16583?
We will first find the prime factorization of 16564 and 16583. After we will calculate the factors of 16564 and 16583 and find the biggest common factor number .
Step-1: Prime Factorization of 16564
Prime factors of 16564 are 2, 41, 101. Prime factorization of 16564 in exponential form is:
16564 = 22 × 411 × 1011
Step-2: Prime Factorization of 16583
Prime factors of 16583 are 7, 23, 103. Prime factorization of 16583 in exponential form is:
16583 = 71 × 231 × 1031
Step-3: Factors of 16564
List of positive integer factors of 16564 that divides 16564 without a remainder.
1, 2, 4, 41, 82, 101, 164, 202, 404, 4141, 8282
Step-4: Factors of 16583
List of positive integer factors of 16583 that divides 16564 without a remainder.
1, 7, 23, 103, 161, 721, 2369
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16564 and 16583. The biggest common factor number is the GCF number.
So the greatest common factor 16564 and 16583 is 1.
Also check out the Least Common Multiple of 16564 and 16583
Related Greatest Common Factors of 16564
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- GCF of 16564 and 16574
- GCF of 16564 and 16575
- GCF of 16564 and 16576
- GCF of 16564 and 16577
- GCF of 16564 and 16578
- GCF of 16564 and 16579
- GCF of 16564 and 16580
- GCF of 16564 and 16581
- GCF of 16564 and 16582
- GCF of 16564 and 16583
- GCF of 16564 and 16584
Related Greatest Common Factors of 16583
- GCF of 16583 and 16587
- GCF of 16583 and 16588
- GCF of 16583 and 16589
- GCF of 16583 and 16590
- GCF of 16583 and 16591
- GCF of 16583 and 16592
- GCF of 16583 and 16593
- GCF of 16583 and 16594
- GCF of 16583 and 16595
- GCF of 16583 and 16596
- GCF of 16583 and 16597
- GCF of 16583 and 16598
- GCF of 16583 and 16599
- GCF of 16583 and 16600
- GCF of 16583 and 16601
- GCF of 16583 and 16602
- GCF of 16583 and 16603