What is the Greatest Common Factor of 55173 and 55182?
Greatest common factor (GCF) of 55173 and 55182 is 3.
GCF(55173,55182) = 3
We will now calculate the prime factors of 55173 and 55182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55173 and 55182.
How to find the GCF of 55173 and 55182?
We will first find the prime factorization of 55173 and 55182. After we will calculate the factors of 55173 and 55182 and find the biggest common factor number .
Step-1: Prime Factorization of 55173
Prime factors of 55173 are 3, 53, 347. Prime factorization of 55173 in exponential form is:
55173 = 31 × 531 × 3471
Step-2: Prime Factorization of 55182
Prime factors of 55182 are 2, 3, 17, 541. Prime factorization of 55182 in exponential form is:
55182 = 21 × 31 × 171 × 5411
Step-3: Factors of 55173
List of positive integer factors of 55173 that divides 55173 without a remainder.
1, 3, 53, 159, 347, 1041, 18391
Step-4: Factors of 55182
List of positive integer factors of 55182 that divides 55173 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102, 541, 1082, 1623, 3246, 9197, 18394, 27591
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55173 and 55182. The biggest common factor number is the GCF number.
So the greatest common factor 55173 and 55182 is 3.
Also check out the Least Common Multiple of 55173 and 55182
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