What is the Greatest Common Factor of 8800 and 8806?
Greatest common factor (GCF) of 8800 and 8806 is 2.
GCF(8800,8806) = 2
We will now calculate the prime factors of 8800 and 8806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8800 and 8806.
How to find the GCF of 8800 and 8806?
We will first find the prime factorization of 8800 and 8806. After we will calculate the factors of 8800 and 8806 and find the biggest common factor number .
Step-1: Prime Factorization of 8800
Prime factors of 8800 are 2, 5, 11. Prime factorization of 8800 in exponential form is:
8800 = 25 × 52 × 111
Step-2: Prime Factorization of 8806
Prime factors of 8806 are 2, 7, 17, 37. Prime factorization of 8806 in exponential form is:
8806 = 21 × 71 × 171 × 371
Step-3: Factors of 8800
List of positive integer factors of 8800 that divides 8800 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400
Step-4: Factors of 8806
List of positive integer factors of 8806 that divides 8800 without a remainder.
1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8800 and 8806. The biggest common factor number is the GCF number.
So the greatest common factor 8800 and 8806 is 2.
Also check out the Least Common Multiple of 8800 and 8806
Related Greatest Common Factors of 8800
- GCF of 8800 and 8804
- GCF of 8800 and 8805
- GCF of 8800 and 8806
- GCF of 8800 and 8807
- GCF of 8800 and 8808
- GCF of 8800 and 8809
- GCF of 8800 and 8810
- GCF of 8800 and 8811
- GCF of 8800 and 8812
- GCF of 8800 and 8813
- GCF of 8800 and 8814
- GCF of 8800 and 8815
- GCF of 8800 and 8816
- GCF of 8800 and 8817
- GCF of 8800 and 8818
- GCF of 8800 and 8819
- GCF of 8800 and 8820
Related Greatest Common Factors of 8806
- GCF of 8806 and 8810
- GCF of 8806 and 8811
- GCF of 8806 and 8812
- GCF of 8806 and 8813
- GCF of 8806 and 8814
- GCF of 8806 and 8815
- GCF of 8806 and 8816
- GCF of 8806 and 8817
- GCF of 8806 and 8818
- GCF of 8806 and 8819
- GCF of 8806 and 8820
- GCF of 8806 and 8821
- GCF of 8806 and 8822
- GCF of 8806 and 8823
- GCF of 8806 and 8824
- GCF of 8806 and 8825
- GCF of 8806 and 8826