What is the Greatest Common Factor of 5973 and 5987?
Greatest common factor (GCF) of 5973 and 5987 is 1.
GCF(5973,5987) = 1
We will now calculate the prime factors of 5973 and 5987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5973 and 5987.
How to find the GCF of 5973 and 5987?
We will first find the prime factorization of 5973 and 5987. After we will calculate the factors of 5973 and 5987 and find the biggest common factor number .
Step-1: Prime Factorization of 5973
Prime factors of 5973 are 3, 11, 181. Prime factorization of 5973 in exponential form is:
5973 = 31 × 111 × 1811
Step-2: Prime Factorization of 5987
Prime factors of 5987 are 5987. Prime factorization of 5987 in exponential form is:
5987 = 59871
Step-3: Factors of 5973
List of positive integer factors of 5973 that divides 5973 without a remainder.
1, 3, 11, 33, 181, 543, 1991
Step-4: Factors of 5987
List of positive integer factors of 5987 that divides 5973 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5973 and 5987. The biggest common factor number is the GCF number.
So the greatest common factor 5973 and 5987 is 1.
Also check out the Least Common Multiple of 5973 and 5987
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