What is the Greatest Common Factor of 18381 and 18389?
Greatest common factor (GCF) of 18381 and 18389 is 1.
GCF(18381,18389) = 1
We will now calculate the prime factors of 18381 and 18389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18381 and 18389.
How to find the GCF of 18381 and 18389?
We will first find the prime factorization of 18381 and 18389. After we will calculate the factors of 18381 and 18389 and find the biggest common factor number .
Step-1: Prime Factorization of 18381
Prime factors of 18381 are 3, 11, 557. Prime factorization of 18381 in exponential form is:
18381 = 31 × 111 × 5571
Step-2: Prime Factorization of 18389
Prime factors of 18389 are 7, 37, 71. Prime factorization of 18389 in exponential form is:
18389 = 71 × 371 × 711
Step-3: Factors of 18381
List of positive integer factors of 18381 that divides 18381 without a remainder.
1, 3, 11, 33, 557, 1671, 6127
Step-4: Factors of 18389
List of positive integer factors of 18389 that divides 18381 without a remainder.
1, 7, 37, 71, 259, 497, 2627
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18381 and 18389. The biggest common factor number is the GCF number.
So the greatest common factor 18381 and 18389 is 1.
Also check out the Least Common Multiple of 18381 and 18389
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