What is the Greatest Common Factor of 915 and 933?
Greatest common factor (GCF) of 915 and 933 is 3.
GCF(915,933) = 3
We will now calculate the prime factors of 915 and 933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 915 and 933.
How to find the GCF of 915 and 933?
We will first find the prime factorization of 915 and 933. After we will calculate the factors of 915 and 933 and find the biggest common factor number .
Step-1: Prime Factorization of 915
Prime factors of 915 are 3, 5, 61. Prime factorization of 915 in exponential form is:
915 = 31 × 51 × 611
Step-2: Prime Factorization of 933
Prime factors of 933 are 3, 311. Prime factorization of 933 in exponential form is:
933 = 31 × 3111
Step-3: Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305
Step-4: Factors of 933
List of positive integer factors of 933 that divides 915 without a remainder.
1, 3, 311
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 915 and 933. The biggest common factor number is the GCF number.
So the greatest common factor 915 and 933 is 3.
Also check out the Least Common Multiple of 915 and 933
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