What is the Greatest Common Factor of 5975 and 5990?
Greatest common factor (GCF) of 5975 and 5990 is 5.
GCF(5975,5990) = 5
We will now calculate the prime factors of 5975 and 5990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5975 and 5990.
How to find the GCF of 5975 and 5990?
We will first find the prime factorization of 5975 and 5990. After we will calculate the factors of 5975 and 5990 and find the biggest common factor number .
Step-1: Prime Factorization of 5975
Prime factors of 5975 are 5, 239. Prime factorization of 5975 in exponential form is:
5975 = 52 × 2391
Step-2: Prime Factorization of 5990
Prime factors of 5990 are 2, 5, 599. Prime factorization of 5990 in exponential form is:
5990 = 21 × 51 × 5991
Step-3: Factors of 5975
List of positive integer factors of 5975 that divides 5975 without a remainder.
1, 5, 25, 239, 1195
Step-4: Factors of 5990
List of positive integer factors of 5990 that divides 5975 without a remainder.
1, 2, 5, 10, 599, 1198, 2995
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5975 and 5990. The biggest common factor number is the GCF number.
So the greatest common factor 5975 and 5990 is 5.
Also check out the Least Common Multiple of 5975 and 5990
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