What is the Greatest Common Factor of 54975 and 54987?
Greatest common factor (GCF) of 54975 and 54987 is 3.
GCF(54975,54987) = 3
We will now calculate the prime factors of 54975 and 54987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54975 and 54987.
How to find the GCF of 54975 and 54987?
We will first find the prime factorization of 54975 and 54987. After we will calculate the factors of 54975 and 54987 and find the biggest common factor number .
Step-1: Prime Factorization of 54975
Prime factors of 54975 are 3, 5, 733. Prime factorization of 54975 in exponential form is:
54975 = 31 × 52 × 7331
Step-2: Prime Factorization of 54987
Prime factors of 54987 are 3, 18329. Prime factorization of 54987 in exponential form is:
54987 = 31 × 183291
Step-3: Factors of 54975
List of positive integer factors of 54975 that divides 54975 without a remainder.
1, 3, 5, 15, 25, 75, 733, 2199, 3665, 10995, 18325
Step-4: Factors of 54987
List of positive integer factors of 54987 that divides 54975 without a remainder.
1, 3, 18329
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54975 and 54987. The biggest common factor number is the GCF number.
So the greatest common factor 54975 and 54987 is 3.
Also check out the Least Common Multiple of 54975 and 54987
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