What is the Greatest Common Factor of 8896 and 8900?
Greatest common factor (GCF) of 8896 and 8900 is 4.
GCF(8896,8900) = 4
We will now calculate the prime factors of 8896 and 8900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8896 and 8900.
How to find the GCF of 8896 and 8900?
We will first find the prime factorization of 8896 and 8900. After we will calculate the factors of 8896 and 8900 and find the biggest common factor number .
Step-1: Prime Factorization of 8896
Prime factors of 8896 are 2, 139. Prime factorization of 8896 in exponential form is:
8896 = 26 × 1391
Step-2: Prime Factorization of 8900
Prime factors of 8900 are 2, 5, 89. Prime factorization of 8900 in exponential form is:
8900 = 22 × 52 × 891
Step-3: Factors of 8896
List of positive integer factors of 8896 that divides 8896 without a remainder.
1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448
Step-4: Factors of 8900
List of positive integer factors of 8900 that divides 8896 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8896 and 8900. The biggest common factor number is the GCF number.
So the greatest common factor 8896 and 8900 is 4.
Also check out the Least Common Multiple of 8896 and 8900
Related Greatest Common Factors of 8896
- GCF of 8896 and 8900
- GCF of 8896 and 8901
- GCF of 8896 and 8902
- GCF of 8896 and 8903
- GCF of 8896 and 8904
- GCF of 8896 and 8905
- GCF of 8896 and 8906
- GCF of 8896 and 8907
- GCF of 8896 and 8908
- GCF of 8896 and 8909
- GCF of 8896 and 8910
- GCF of 8896 and 8911
- GCF of 8896 and 8912
- GCF of 8896 and 8913
- GCF of 8896 and 8914
- GCF of 8896 and 8915
- GCF of 8896 and 8916
Related Greatest Common Factors of 8900
- GCF of 8900 and 8904
- GCF of 8900 and 8905
- GCF of 8900 and 8906
- GCF of 8900 and 8907
- GCF of 8900 and 8908
- GCF of 8900 and 8909
- GCF of 8900 and 8910
- GCF of 8900 and 8911
- GCF of 8900 and 8912
- GCF of 8900 and 8913
- GCF of 8900 and 8914
- GCF of 8900 and 8915
- GCF of 8900 and 8916
- GCF of 8900 and 8917
- GCF of 8900 and 8918
- GCF of 8900 and 8919
- GCF of 8900 and 8920