What is the Greatest Common Factor of 18392 and 18400?
Greatest common factor (GCF) of 18392 and 18400 is 8.
GCF(18392,18400) = 8
We will now calculate the prime factors of 18392 and 18400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18392 and 18400.
How to find the GCF of 18392 and 18400?
We will first find the prime factorization of 18392 and 18400. After we will calculate the factors of 18392 and 18400 and find the biggest common factor number .
Step-1: Prime Factorization of 18392
Prime factors of 18392 are 2, 11, 19. Prime factorization of 18392 in exponential form is:
18392 = 23 × 112 × 191
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 18392
List of positive integer factors of 18392 that divides 18392 without a remainder.
1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 121, 152, 209, 242, 418, 484, 836, 968, 1672, 2299, 4598, 9196
Step-4: Factors of 18400
List of positive integer factors of 18400 that divides 18392 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 18392 and 18400. The biggest common factor number is the GCF number.
So the greatest common factor 18392 and 18400 is 8.
Also check out the Least Common Multiple of 18392 and 18400
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