What is the Greatest Common Factor of 915 and 924?
Greatest common factor (GCF) of 915 and 924 is 3.
GCF(915,924) = 3
We will now calculate the prime factors of 915 and 924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 915 and 924.
How to find the GCF of 915 and 924?
We will first find the prime factorization of 915 and 924. After we will calculate the factors of 915 and 924 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 924
Prime factors of 924 are 2, 3, 7, 11. Prime factorization of 924 in exponential form is:
924 = 22 × 31 × 71 × 111
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 924
List of positive integer factors of 924 that divides 915 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
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 915 and 924. The biggest common factor number is the GCF number.
So the greatest common factor 915 and 924 is 3.
Also check out the Least Common Multiple of 915 and 924
Related Greatest Common Factors of 915
- GCF of 915 and 919
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- GCF of 915 and 931
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Related Greatest Common Factors of 924
- GCF of 924 and 928
- GCF of 924 and 929
- GCF of 924 and 930
- GCF of 924 and 931
- 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
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- GCF of 924 and 940
- GCF of 924 and 941
- GCF of 924 and 942
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