What is the Greatest Common Factor of 57971 and 57978?
Greatest common factor (GCF) of 57971 and 57978 is 1.
GCF(57971,57978) = 1
We will now calculate the prime factors of 57971 and 57978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57971 and 57978.
How to find the GCF of 57971 and 57978?
We will first find the prime factorization of 57971 and 57978. After we will calculate the factors of 57971 and 57978 and find the biggest common factor number .
Step-1: Prime Factorization of 57971
Prime factors of 57971 are 29, 1999. Prime factorization of 57971 in exponential form is:
57971 = 291 × 19991
Step-2: Prime Factorization of 57978
Prime factors of 57978 are 2, 3, 3221. Prime factorization of 57978 in exponential form is:
57978 = 21 × 32 × 32211
Step-3: Factors of 57971
List of positive integer factors of 57971 that divides 57971 without a remainder.
1, 29, 1999
Step-4: Factors of 57978
List of positive integer factors of 57978 that divides 57971 without a remainder.
1, 2, 3, 6, 9, 18, 3221, 6442, 9663, 19326, 28989
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 57971 and 57978. The biggest common factor number is the GCF number.
So the greatest common factor 57971 and 57978 is 1.
Also check out the Least Common Multiple of 57971 and 57978
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