What is the Greatest Common Factor of 7824 and 7844?
Greatest common factor (GCF) of 7824 and 7844 is 4.
GCF(7824,7844) = 4
We will now calculate the prime factors of 7824 and 7844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7824 and 7844.
How to find the GCF of 7824 and 7844?
We will first find the prime factorization of 7824 and 7844. After we will calculate the factors of 7824 and 7844 and find the biggest common factor number .
Step-1: Prime Factorization of 7824
Prime factors of 7824 are 2, 3, 163. Prime factorization of 7824 in exponential form is:
7824 = 24 × 31 × 1631
Step-2: Prime Factorization of 7844
Prime factors of 7844 are 2, 37, 53. Prime factorization of 7844 in exponential form is:
7844 = 22 × 371 × 531
Step-3: Factors of 7824
List of positive integer factors of 7824 that divides 7824 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912
Step-4: Factors of 7844
List of positive integer factors of 7844 that divides 7824 without a remainder.
1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7824 and 7844. The biggest common factor number is the GCF number.
So the greatest common factor 7824 and 7844 is 4.
Also check out the Least Common Multiple of 7824 and 7844
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- GCF of 7824 and 7844
Related Greatest Common Factors of 7844
- GCF of 7844 and 7848
- GCF of 7844 and 7849
- GCF of 7844 and 7850
- GCF of 7844 and 7851
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- GCF of 7844 and 7853
- GCF of 7844 and 7854
- GCF of 7844 and 7855
- GCF of 7844 and 7856
- GCF of 7844 and 7857
- GCF of 7844 and 7858
- GCF of 7844 and 7859
- GCF of 7844 and 7860
- GCF of 7844 and 7861
- GCF of 7844 and 7862
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