What is the Greatest Common Factor of 54255 and 54275?
Greatest common factor (GCF) of 54255 and 54275 is 5.
GCF(54255,54275) = 5
We will now calculate the prime factors of 54255 and 54275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54255 and 54275.
How to find the GCF of 54255 and 54275?
We will first find the prime factorization of 54255 and 54275. After we will calculate the factors of 54255 and 54275 and find the biggest common factor number .
Step-1: Prime Factorization of 54255
Prime factors of 54255 are 3, 5, 3617. Prime factorization of 54255 in exponential form is:
54255 = 31 × 51 × 36171
Step-2: Prime Factorization of 54275
Prime factors of 54275 are 5, 13, 167. Prime factorization of 54275 in exponential form is:
54275 = 52 × 131 × 1671
Step-3: Factors of 54255
List of positive integer factors of 54255 that divides 54255 without a remainder.
1, 3, 5, 15, 3617, 10851, 18085
Step-4: Factors of 54275
List of positive integer factors of 54275 that divides 54255 without a remainder.
1, 5, 13, 25, 65, 167, 325, 835, 2171, 4175, 10855
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54255 and 54275. The biggest common factor number is the GCF number.
So the greatest common factor 54255 and 54275 is 5.
Also check out the Least Common Multiple of 54255 and 54275
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