What is the Greatest Common Factor of 900 and 905?
Greatest common factor (GCF) of 900 and 905 is 5.
GCF(900,905) = 5
We will now calculate the prime factors of 900 and 905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 900 and 905.
How to find the GCF of 900 and 905?
We will first find the prime factorization of 900 and 905. After we will calculate the factors of 900 and 905 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 905
Prime factors of 905 are 5, 181. Prime factorization of 905 in exponential form is:
905 = 51 × 1811
Step-3: Factors of 900
List of positive integer factors of 900 that divides 900 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
Step-4: Factors of 905
List of positive integer factors of 905 that divides 900 without a remainder.
1, 5, 181
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 900 and 905. The biggest common factor number is the GCF number.
So the greatest common factor 900 and 905 is 5.
Also check out the Least Common Multiple of 900 and 905
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