What is the Greatest Common Factor of 5970 and 5989?
Greatest common factor (GCF) of 5970 and 5989 is 1.
GCF(5970,5989) = 1
We will now calculate the prime factors of 5970 and 5989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5970 and 5989.
How to find the GCF of 5970 and 5989?
We will first find the prime factorization of 5970 and 5989. After we will calculate the factors of 5970 and 5989 and find the biggest common factor number .
Step-1: Prime Factorization of 5970
Prime factors of 5970 are 2, 3, 5, 199. Prime factorization of 5970 in exponential form is:
5970 = 21 × 31 × 51 × 1991
Step-2: Prime Factorization of 5989
Prime factors of 5989 are 53, 113. Prime factorization of 5989 in exponential form is:
5989 = 531 × 1131
Step-3: Factors of 5970
List of positive integer factors of 5970 that divides 5970 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985
Step-4: Factors of 5989
List of positive integer factors of 5989 that divides 5970 without a remainder.
1, 53, 113
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5970 and 5989. The biggest common factor number is the GCF number.
So the greatest common factor 5970 and 5989 is 1.
Also check out the Least Common Multiple of 5970 and 5989
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Related Greatest Common Factors of 5989
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