What is the Greatest Common Factor of 8870 and 8880?
Greatest common factor (GCF) of 8870 and 8880 is 10.
GCF(8870,8880) = 10
We will now calculate the prime factors of 8870 and 8880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8870 and 8880.
How to find the GCF of 8870 and 8880?
We will first find the prime factorization of 8870 and 8880. After we will calculate the factors of 8870 and 8880 and find the biggest common factor number .
Step-1: Prime Factorization of 8870
Prime factors of 8870 are 2, 5, 887. Prime factorization of 8870 in exponential form is:
8870 = 21 × 51 × 8871
Step-2: Prime Factorization of 8880
Prime factors of 8880 are 2, 3, 5, 37. Prime factorization of 8880 in exponential form is:
8880 = 24 × 31 × 51 × 371
Step-3: Factors of 8870
List of positive integer factors of 8870 that divides 8870 without a remainder.
1, 2, 5, 10, 887, 1774, 4435
Step-4: Factors of 8880
List of positive integer factors of 8880 that divides 8870 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8870 and 8880. The biggest common factor number is the GCF number.
So the greatest common factor 8870 and 8880 is 10.
Also check out the Least Common Multiple of 8870 and 8880
Related Greatest Common Factors of 8870
- GCF of 8870 and 8874
- GCF of 8870 and 8875
- GCF of 8870 and 8876
- GCF of 8870 and 8877
- GCF of 8870 and 8878
- GCF of 8870 and 8879
- GCF of 8870 and 8880
- GCF of 8870 and 8881
- GCF of 8870 and 8882
- GCF of 8870 and 8883
- GCF of 8870 and 8884
- GCF of 8870 and 8885
- GCF of 8870 and 8886
- GCF of 8870 and 8887
- GCF of 8870 and 8888
- GCF of 8870 and 8889
- GCF of 8870 and 8890
Related Greatest Common Factors of 8880
- GCF of 8880 and 8884
- GCF of 8880 and 8885
- GCF of 8880 and 8886
- GCF of 8880 and 8887
- GCF of 8880 and 8888
- GCF of 8880 and 8889
- GCF of 8880 and 8890
- GCF of 8880 and 8891
- GCF of 8880 and 8892
- GCF of 8880 and 8893
- GCF of 8880 and 8894
- GCF of 8880 and 8895
- GCF of 8880 and 8896
- GCF of 8880 and 8897
- GCF of 8880 and 8898
- GCF of 8880 and 8899
- GCF of 8880 and 8900