What is the Greatest Common Factor of 981 and 989?
Greatest common factor (GCF) of 981 and 989 is 1.
GCF(981,989) = 1
We will now calculate the prime factors of 981 and 989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 981 and 989.
How to find the GCF of 981 and 989?
We will first find the prime factorization of 981 and 989. After we will calculate the factors of 981 and 989 and find the biggest common factor number .
Step-1: Prime Factorization of 981
Prime factors of 981 are 3, 109. Prime factorization of 981 in exponential form is:
981 = 32 × 1091
Step-2: Prime Factorization of 989
Prime factors of 989 are 23, 43. Prime factorization of 989 in exponential form is:
989 = 231 × 431
Step-3: Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327
Step-4: Factors of 989
List of positive integer factors of 989 that divides 981 without a remainder.
1, 23, 43
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 981 and 989. The biggest common factor number is the GCF number.
So the greatest common factor 981 and 989 is 1.
Also check out the Least Common Multiple of 981 and 989
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