What is the Greatest Common Factor of 18381 and 18400?
Greatest common factor (GCF) of 18381 and 18400 is 1.
GCF(18381,18400) = 1
We will now calculate the prime factors of 18381 and 18400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18381 and 18400.
How to find the GCF of 18381 and 18400?
We will first find the prime factorization of 18381 and 18400. After we will calculate the factors of 18381 and 18400 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 18400
Prime factors of 18400 are 2, 5, 23. Prime factorization of 18400 in exponential form is:
18400 = 25 × 52 × 231
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 18400
List of positive integer factors of 18400 that divides 18381 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 80, 92, 100, 115, 160, 184, 200, 230, 368, 400, 460, 575, 736, 800, 920, 1150, 1840, 2300, 3680, 4600, 9200
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18381 and 18400. The biggest common factor number is the GCF number.
So the greatest common factor 18381 and 18400 is 1.
Also check out the Least Common Multiple of 18381 and 18400
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Related Greatest Common Factors of 18400
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