What is the Greatest Common Factor of 16736 and 16740?
Greatest common factor (GCF) of 16736 and 16740 is 4.
GCF(16736,16740) = 4
We will now calculate the prime factors of 16736 and 16740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16736 and 16740.
How to find the GCF of 16736 and 16740?
We will first find the prime factorization of 16736 and 16740. After we will calculate the factors of 16736 and 16740 and find the biggest common factor number .
Step-1: Prime Factorization of 16736
Prime factors of 16736 are 2, 523. Prime factorization of 16736 in exponential form is:
16736 = 25 × 5231
Step-2: Prime Factorization of 16740
Prime factors of 16740 are 2, 3, 5, 31. Prime factorization of 16740 in exponential form is:
16740 = 22 × 33 × 51 × 311
Step-3: Factors of 16736
List of positive integer factors of 16736 that divides 16736 without a remainder.
1, 2, 4, 8, 16, 32, 523, 1046, 2092, 4184, 8368
Step-4: Factors of 16740
List of positive integer factors of 16740 that divides 16736 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 31, 36, 45, 54, 60, 62, 90, 93, 108, 124, 135, 155, 180, 186, 270, 279, 310, 372, 465, 540, 558, 620, 837, 930, 1116, 1395, 1674, 1860, 2790, 3348, 4185, 5580, 8370
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16736 and 16740. The biggest common factor number is the GCF number.
So the greatest common factor 16736 and 16740 is 4.
Also check out the Least Common Multiple of 16736 and 16740
Related Greatest Common Factors of 16736
- GCF of 16736 and 16740
- GCF of 16736 and 16741
- GCF of 16736 and 16742
- GCF of 16736 and 16743
- GCF of 16736 and 16744
- GCF of 16736 and 16745
- GCF of 16736 and 16746
- GCF of 16736 and 16747
- GCF of 16736 and 16748
- GCF of 16736 and 16749
- GCF of 16736 and 16750
- GCF of 16736 and 16751
- GCF of 16736 and 16752
- GCF of 16736 and 16753
- GCF of 16736 and 16754
- GCF of 16736 and 16755
- GCF of 16736 and 16756
Related Greatest Common Factors of 16740
- GCF of 16740 and 16744
- GCF of 16740 and 16745
- GCF of 16740 and 16746
- GCF of 16740 and 16747
- GCF of 16740 and 16748
- GCF of 16740 and 16749
- GCF of 16740 and 16750
- GCF of 16740 and 16751
- GCF of 16740 and 16752
- GCF of 16740 and 16753
- GCF of 16740 and 16754
- GCF of 16740 and 16755
- GCF of 16740 and 16756
- GCF of 16740 and 16757
- GCF of 16740 and 16758
- GCF of 16740 and 16759
- GCF of 16740 and 16760