What is the Greatest Common Factor of 954 and 963?
Greatest common factor (GCF) of 954 and 963 is 9.
GCF(954,963) = 9
We will now calculate the prime factors of 954 and 963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 954 and 963.
How to find the GCF of 954 and 963?
We will first find the prime factorization of 954 and 963. After we will calculate the factors of 954 and 963 and find the biggest common factor number .
Step-1: Prime Factorization of 954
Prime factors of 954 are 2, 3, 53. Prime factorization of 954 in exponential form is:
954 = 21 × 32 × 531
Step-2: Prime Factorization of 963
Prime factors of 963 are 3, 107. Prime factorization of 963 in exponential form is:
963 = 32 × 1071
Step-3: Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477
Step-4: Factors of 963
List of positive integer factors of 963 that divides 954 without a remainder.
1, 3, 9, 107, 321
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 954 and 963. The biggest common factor number is the GCF number.
So the greatest common factor 954 and 963 is 9.
Also check out the Least Common Multiple of 954 and 963
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