What is the Greatest Common Factor of 880 and 900?
Greatest common factor (GCF) of 880 and 900 is 20.
GCF(880,900) = 20
We will now calculate the prime factors of 880 and 900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 880 and 900.
How to find the GCF of 880 and 900?
We will first find the prime factorization of 880 and 900. After we will calculate the factors of 880 and 900 and find the biggest common factor number .
Step-1: Prime Factorization of 880
Prime factors of 880 are 2, 5, 11. Prime factorization of 880 in exponential form is:
880 = 24 × 51 × 111
Step-2: Prime Factorization of 900
Prime factors of 900 are 2, 3, 5. Prime factorization of 900 in exponential form is:
900 = 22 × 32 × 52
Step-3: Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440
Step-4: Factors of 900
List of positive integer factors of 900 that divides 880 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 880 and 900. The biggest common factor number is the GCF number.
So the greatest common factor 880 and 900 is 20.
Also check out the Least Common Multiple of 880 and 900
Related Greatest Common Factors of 880
- GCF of 880 and 884
- GCF of 880 and 885
- GCF of 880 and 886
- GCF of 880 and 887
- GCF of 880 and 888
- GCF of 880 and 889
- GCF of 880 and 890
- GCF of 880 and 891
- GCF of 880 and 892
- GCF of 880 and 893
- GCF of 880 and 894
- GCF of 880 and 895
- GCF of 880 and 896
- GCF of 880 and 897
- GCF of 880 and 898
- GCF of 880 and 899
- GCF of 880 and 900
Related Greatest Common Factors of 900
- GCF of 900 and 904
- GCF of 900 and 905
- GCF of 900 and 906
- GCF of 900 and 907
- GCF of 900 and 908
- GCF of 900 and 909
- GCF of 900 and 910
- GCF of 900 and 911
- GCF of 900 and 912
- GCF of 900 and 913
- GCF of 900 and 914
- GCF of 900 and 915
- GCF of 900 and 916
- GCF of 900 and 917
- GCF of 900 and 918
- GCF of 900 and 919
- GCF of 900 and 920