What is the Greatest Common Factor of 54060 and 54071?
Greatest common factor (GCF) of 54060 and 54071 is 1.
GCF(54060,54071) = 1
We will now calculate the prime factors of 54060 and 54071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54060 and 54071.
How to find the GCF of 54060 and 54071?
We will first find the prime factorization of 54060 and 54071. After we will calculate the factors of 54060 and 54071 and find the biggest common factor number .
Step-1: Prime Factorization of 54060
Prime factors of 54060 are 2, 3, 5, 17, 53. Prime factorization of 54060 in exponential form is:
54060 = 22 × 31 × 51 × 171 × 531
Step-2: Prime Factorization of 54071
Prime factors of 54071 are 139, 389. Prime factorization of 54071 in exponential form is:
54071 = 1391 × 3891
Step-3: Factors of 54060
List of positive integer factors of 54060 that divides 54060 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 53, 60, 68, 85, 102, 106, 159, 170, 204, 212, 255, 265, 318, 340, 510, 530, 636, 795, 901, 1020, 1060, 1590, 1802, 2703, 3180, 3604, 4505, 5406, 9010, 10812, 13515, 18020, 27030
Step-4: Factors of 54071
List of positive integer factors of 54071 that divides 54060 without a remainder.
1, 139, 389
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54060 and 54071. The biggest common factor number is the GCF number.
So the greatest common factor 54060 and 54071 is 1.
Also check out the Least Common Multiple of 54060 and 54071
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Related Greatest Common Factors of 54071
- GCF of 54071 and 54075
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- GCF of 54071 and 54087
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