What is the Greatest Common Factor of 924 and 936?
Greatest common factor (GCF) of 924 and 936 is 12.
GCF(924,936) = 12
We will now calculate the prime factors of 924 and 936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 924 and 936.
How to find the GCF of 924 and 936?
We will first find the prime factorization of 924 and 936. After we will calculate the factors of 924 and 936 and find the biggest common factor number .
Step-1: Prime Factorization of 924
Prime factors of 924 are 2, 3, 7, 11. Prime factorization of 924 in exponential form is:
924 = 22 × 31 × 71 × 111
Step-2: Prime Factorization of 936
Prime factors of 936 are 2, 3, 13. Prime factorization of 936 in exponential form is:
936 = 23 × 32 × 131
Step-3: Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462
Step-4: Factors of 936
List of positive integer factors of 936 that divides 924 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 924 and 936. The biggest common factor number is the GCF number.
So the greatest common factor 924 and 936 is 12.
Also check out the Least Common Multiple of 924 and 936
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