What is the Greatest Common Factor of 924 and 928?
Greatest common factor (GCF) of 924 and 928 is 4.
GCF(924,928) = 4
We will now calculate the prime factors of 924 and 928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 924 and 928.
How to find the GCF of 924 and 928?
We will first find the prime factorization of 924 and 928. After we will calculate the factors of 924 and 928 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 928
Prime factors of 928 are 2, 29. Prime factorization of 928 in exponential form is:
928 = 25 × 291
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 928
List of positive integer factors of 928 that divides 924 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 924 and 928. The biggest common factor number is the GCF number.
So the greatest common factor 924 and 928 is 4.
Also check out the Least Common Multiple of 924 and 928
Related Greatest Common Factors of 924
- GCF of 924 and 928
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- GCF of 924 and 932
- GCF of 924 and 933
- GCF of 924 and 934
- GCF of 924 and 935
- GCF of 924 and 936
- GCF of 924 and 937
- GCF of 924 and 938
- GCF of 924 and 939
- GCF of 924 and 940
- GCF of 924 and 941
- GCF of 924 and 942
- GCF of 924 and 943
- GCF of 924 and 944
Related Greatest Common Factors of 928
- GCF of 928 and 932
- GCF of 928 and 933
- GCF of 928 and 934
- GCF of 928 and 935
- GCF of 928 and 936
- GCF of 928 and 937
- GCF of 928 and 938
- GCF of 928 and 939
- GCF of 928 and 940
- GCF of 928 and 941
- GCF of 928 and 942
- GCF of 928 and 943
- GCF of 928 and 944
- GCF of 928 and 945
- GCF of 928 and 946
- GCF of 928 and 947
- GCF of 928 and 948