What is the Greatest Common Factor of 7920 and 7924?
Greatest common factor (GCF) of 7920 and 7924 is 4.
GCF(7920,7924) = 4
We will now calculate the prime factors of 7920 and 7924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7920 and 7924.
How to find the GCF of 7920 and 7924?
We will first find the prime factorization of 7920 and 7924. After we will calculate the factors of 7920 and 7924 and find the biggest common factor number .
Step-1: Prime Factorization of 7920
Prime factors of 7920 are 2, 3, 5, 11. Prime factorization of 7920 in exponential form is:
7920 = 24 × 32 × 51 × 111
Step-2: Prime Factorization of 7924
Prime factors of 7924 are 2, 7, 283. Prime factorization of 7924 in exponential form is:
7924 = 22 × 71 × 2831
Step-3: Factors of 7920
List of positive integer factors of 7920 that divides 7920 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960
Step-4: Factors of 7924
List of positive integer factors of 7924 that divides 7920 without a remainder.
1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7920 and 7924. The biggest common factor number is the GCF number.
So the greatest common factor 7920 and 7924 is 4.
Also check out the Least Common Multiple of 7920 and 7924
Related Greatest Common Factors of 7920
- GCF of 7920 and 7924
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- GCF of 7920 and 7929
- GCF of 7920 and 7930
- GCF of 7920 and 7931
- GCF of 7920 and 7932
- GCF of 7920 and 7933
- GCF of 7920 and 7934
- GCF of 7920 and 7935
- GCF of 7920 and 7936
- GCF of 7920 and 7937
- GCF of 7920 and 7938
- GCF of 7920 and 7939
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Related Greatest Common Factors of 7924
- GCF of 7924 and 7928
- GCF of 7924 and 7929
- GCF of 7924 and 7930
- GCF of 7924 and 7931
- GCF of 7924 and 7932
- GCF of 7924 and 7933
- GCF of 7924 and 7934
- GCF of 7924 and 7935
- GCF of 7924 and 7936
- GCF of 7924 and 7937
- GCF of 7924 and 7938
- GCF of 7924 and 7939
- GCF of 7924 and 7940
- GCF of 7924 and 7941
- GCF of 7924 and 7942
- GCF of 7924 and 7943
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