What is the Greatest Common Factor of 53984 and 53991?
Greatest common factor (GCF) of 53984 and 53991 is 7.
GCF(53984,53991) = 7
We will now calculate the prime factors of 53984 and 53991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53984 and 53991.
How to find the GCF of 53984 and 53991?
We will first find the prime factorization of 53984 and 53991. After we will calculate the factors of 53984 and 53991 and find the biggest common factor number .
Step-1: Prime Factorization of 53984
Prime factors of 53984 are 2, 7, 241. Prime factorization of 53984 in exponential form is:
53984 = 25 × 71 × 2411
Step-2: Prime Factorization of 53991
Prime factors of 53991 are 3, 7, 857. Prime factorization of 53991 in exponential form is:
53991 = 32 × 71 × 8571
Step-3: Factors of 53984
List of positive integer factors of 53984 that divides 53984 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 241, 482, 964, 1687, 1928, 3374, 3856, 6748, 7712, 13496, 26992
Step-4: Factors of 53991
List of positive integer factors of 53991 that divides 53984 without a remainder.
1, 3, 7, 9, 21, 63, 857, 2571, 5999, 7713, 17997
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 53984 and 53991. The biggest common factor number is the GCF number.
So the greatest common factor 53984 and 53991 is 7.
Also check out the Least Common Multiple of 53984 and 53991
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Related Greatest Common Factors of 53991
- GCF of 53991 and 53995
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