What is the Greatest Common Factor of 55059 and 55071?
Greatest common factor (GCF) of 55059 and 55071 is 3.
GCF(55059,55071) = 3
We will now calculate the prime factors of 55059 and 55071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55059 and 55071.
How to find the GCF of 55059 and 55071?
We will first find the prime factorization of 55059 and 55071. After we will calculate the factors of 55059 and 55071 and find the biggest common factor number .
Step-1: Prime Factorization of 55059
Prime factors of 55059 are 3, 18353. Prime factorization of 55059 in exponential form is:
55059 = 31 × 183531
Step-2: Prime Factorization of 55071
Prime factors of 55071 are 3, 29, 211. Prime factorization of 55071 in exponential form is:
55071 = 32 × 291 × 2111
Step-3: Factors of 55059
List of positive integer factors of 55059 that divides 55059 without a remainder.
1, 3, 18353
Step-4: Factors of 55071
List of positive integer factors of 55071 that divides 55059 without a remainder.
1, 3, 9, 29, 87, 211, 261, 633, 1899, 6119, 18357
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55059 and 55071. The biggest common factor number is the GCF number.
So the greatest common factor 55059 and 55071 is 3.
Also check out the Least Common Multiple of 55059 and 55071
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