What is the Greatest Common Factor of 982 and 987?
Greatest common factor (GCF) of 982 and 987 is 1.
GCF(982,987) = 1
We will now calculate the prime factors of 982 and 987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 982 and 987.
How to find the GCF of 982 and 987?
We will first find the prime factorization of 982 and 987. After we will calculate the factors of 982 and 987 and find the biggest common factor number .
Step-1: Prime Factorization of 982
Prime factors of 982 are 2, 491. Prime factorization of 982 in exponential form is:
982 = 21 × 4911
Step-2: Prime Factorization of 987
Prime factors of 987 are 3, 7, 47. Prime factorization of 987 in exponential form is:
987 = 31 × 71 × 471
Step-3: Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1, 2, 491
Step-4: Factors of 987
List of positive integer factors of 987 that divides 982 without a remainder.
1, 3, 7, 21, 47, 141, 329
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 982 and 987. The biggest common factor number is the GCF number.
So the greatest common factor 982 and 987 is 1.
Also check out the Least Common Multiple of 982 and 987
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