What is the Greatest Common Factor of 89967 and 89981?
Greatest common factor (GCF) of 89967 and 89981 is 1.
GCF(89967,89981) = 1
We will now calculate the prime factors of 89967 and 89981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89967 and 89981.
How to find the GCF of 89967 and 89981?
We will first find the prime factorization of 89967 and 89981. After we will calculate the factors of 89967 and 89981 and find the biggest common factor number .
Step-1: Prime Factorization of 89967
Prime factors of 89967 are 3, 29989. Prime factorization of 89967 in exponential form is:
89967 = 31 × 299891
Step-2: Prime Factorization of 89981
Prime factors of 89981 are 17, 67, 79. Prime factorization of 89981 in exponential form is:
89981 = 171 × 671 × 791
Step-3: Factors of 89967
List of positive integer factors of 89967 that divides 89967 without a remainder.
1, 3, 29989
Step-4: Factors of 89981
List of positive integer factors of 89981 that divides 89967 without a remainder.
1, 17, 67, 79, 1139, 1343, 5293
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 89967 and 89981. The biggest common factor number is the GCF number.
So the greatest common factor 89967 and 89981 is 1.
Also check out the Least Common Multiple of 89967 and 89981
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