What is the Greatest Common Factor of 18688 and 18700?
Greatest common factor (GCF) of 18688 and 18700 is 4.
GCF(18688,18700) = 4
We will now calculate the prime factors of 18688 and 18700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18688 and 18700.
How to find the GCF of 18688 and 18700?
We will first find the prime factorization of 18688 and 18700. After we will calculate the factors of 18688 and 18700 and find the biggest common factor number .
Step-1: Prime Factorization of 18688
Prime factors of 18688 are 2, 73. Prime factorization of 18688 in exponential form is:
18688 = 28 × 731
Step-2: Prime Factorization of 18700
Prime factors of 18700 are 2, 5, 11, 17. Prime factorization of 18700 in exponential form is:
18700 = 22 × 52 × 111 × 171
Step-3: Factors of 18688
List of positive integer factors of 18688 that divides 18688 without a remainder.
1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 256, 292, 584, 1168, 2336, 4672, 9344
Step-4: Factors of 18700
List of positive integer factors of 18700 that divides 18688 without a remainder.
1, 2, 4, 5, 10, 11, 17, 20, 22, 25, 34, 44, 50, 55, 68, 85, 100, 110, 170, 187, 220, 275, 340, 374, 425, 550, 748, 850, 935, 1100, 1700, 1870, 3740, 4675, 9350
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18688 and 18700. The biggest common factor number is the GCF number.
So the greatest common factor 18688 and 18700 is 4.
Also check out the Least Common Multiple of 18688 and 18700
Related Greatest Common Factors of 18688
- GCF of 18688 and 18692
- GCF of 18688 and 18693
- GCF of 18688 and 18694
- GCF of 18688 and 18695
- GCF of 18688 and 18696
- GCF of 18688 and 18697
- GCF of 18688 and 18698
- GCF of 18688 and 18699
- GCF of 18688 and 18700
- GCF of 18688 and 18701
- GCF of 18688 and 18702
- GCF of 18688 and 18703
- GCF of 18688 and 18704
- GCF of 18688 and 18705
- GCF of 18688 and 18706
- GCF of 18688 and 18707
- GCF of 18688 and 18708
Related Greatest Common Factors of 18700
- GCF of 18700 and 18704
- GCF of 18700 and 18705
- GCF of 18700 and 18706
- GCF of 18700 and 18707
- GCF of 18700 and 18708
- GCF of 18700 and 18709
- GCF of 18700 and 18710
- GCF of 18700 and 18711
- GCF of 18700 and 18712
- GCF of 18700 and 18713
- GCF of 18700 and 18714
- GCF of 18700 and 18715
- GCF of 18700 and 18716
- GCF of 18700 and 18717
- GCF of 18700 and 18718
- GCF of 18700 and 18719
- GCF of 18700 and 18720