What is the Greatest Common Factor of 53968 and 53984?
Greatest common factor (GCF) of 53968 and 53984 is 16.
GCF(53968,53984) = 16
We will now calculate the prime factors of 53968 and 53984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53968 and 53984.
How to find the GCF of 53968 and 53984?
We will first find the prime factorization of 53968 and 53984. After we will calculate the factors of 53968 and 53984 and find the biggest common factor number .
Step-1: Prime Factorization of 53968
Prime factors of 53968 are 2, 3373. Prime factorization of 53968 in exponential form is:
53968 = 24 × 33731
Step-2: 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-3: Factors of 53968
List of positive integer factors of 53968 that divides 53968 without a remainder.
1, 2, 4, 8, 16, 3373, 6746, 13492, 26984
Step-4: Factors of 53984
List of positive integer factors of 53984 that divides 53968 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
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 53968 and 53984. The biggest common factor number is the GCF number.
So the greatest common factor 53968 and 53984 is 16.
Also check out the Least Common Multiple of 53968 and 53984
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Related Greatest Common Factors of 53984
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