What is the Greatest Common Factor of 18380 and 18392?
Greatest common factor (GCF) of 18380 and 18392 is 4.
GCF(18380,18392) = 4
We will now calculate the prime factors of 18380 and 18392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18380 and 18392.
How to find the GCF of 18380 and 18392?
We will first find the prime factorization of 18380 and 18392. After we will calculate the factors of 18380 and 18392 and find the biggest common factor number .
Step-1: Prime Factorization of 18380
Prime factors of 18380 are 2, 5, 919. Prime factorization of 18380 in exponential form is:
18380 = 22 × 51 × 9191
Step-2: 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-3: Factors of 18380
List of positive integer factors of 18380 that divides 18380 without a remainder.
1, 2, 4, 5, 10, 20, 919, 1838, 3676, 4595, 9190
Step-4: Factors of 18392
List of positive integer factors of 18392 that divides 18380 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
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18380 and 18392. The biggest common factor number is the GCF number.
So the greatest common factor 18380 and 18392 is 4.
Also check out the Least Common Multiple of 18380 and 18392
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