What is the Greatest Common Factor of 54308 and 54316?
Greatest common factor (GCF) of 54308 and 54316 is 4.
GCF(54308,54316) = 4
We will now calculate the prime factors of 54308 and 54316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54308 and 54316.
How to find the GCF of 54308 and 54316?
We will first find the prime factorization of 54308 and 54316. After we will calculate the factors of 54308 and 54316 and find the biggest common factor number .
Step-1: Prime Factorization of 54308
Prime factors of 54308 are 2, 13577. Prime factorization of 54308 in exponential form is:
54308 = 22 × 135771
Step-2: Prime Factorization of 54316
Prime factors of 54316 are 2, 37, 367. Prime factorization of 54316 in exponential form is:
54316 = 22 × 371 × 3671
Step-3: Factors of 54308
List of positive integer factors of 54308 that divides 54308 without a remainder.
1, 2, 4, 13577, 27154
Step-4: Factors of 54316
List of positive integer factors of 54316 that divides 54308 without a remainder.
1, 2, 4, 37, 74, 148, 367, 734, 1468, 13579, 27158
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54308 and 54316. The biggest common factor number is the GCF number.
So the greatest common factor 54308 and 54316 is 4.
Also check out the Least Common Multiple of 54308 and 54316
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