What is the Greatest Common Factor of 880 and 896?
Greatest common factor (GCF) of 880 and 896 is 16.
GCF(880,896) = 16
We will now calculate the prime factors of 880 and 896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 880 and 896.
How to find the GCF of 880 and 896?
We will first find the prime factorization of 880 and 896. After we will calculate the factors of 880 and 896 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 896
Prime factors of 896 are 2, 7. Prime factorization of 896 in exponential form is:
896 = 27 × 71
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 896
List of positive integer factors of 896 that divides 880 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 880 and 896. The biggest common factor number is the GCF number.
So the greatest common factor 880 and 896 is 16.
Also check out the Least Common Multiple of 880 and 896
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