What is the Greatest Common Factor of 18990 and 18994?
Greatest common factor (GCF) of 18990 and 18994 is 2.
GCF(18990,18994) = 2
We will now calculate the prime factors of 18990 and 18994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18990 and 18994.
How to find the GCF of 18990 and 18994?
We will first find the prime factorization of 18990 and 18994. After we will calculate the factors of 18990 and 18994 and find the biggest common factor number .
Step-1: Prime Factorization of 18990
Prime factors of 18990 are 2, 3, 5, 211. Prime factorization of 18990 in exponential form is:
18990 = 21 × 32 × 51 × 2111
Step-2: Prime Factorization of 18994
Prime factors of 18994 are 2, 9497. Prime factorization of 18994 in exponential form is:
18994 = 21 × 94971
Step-3: Factors of 18990
List of positive integer factors of 18990 that divides 18990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 211, 422, 633, 1055, 1266, 1899, 2110, 3165, 3798, 6330, 9495
Step-4: Factors of 18994
List of positive integer factors of 18994 that divides 18990 without a remainder.
1, 2, 9497
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 18990 and 18994. The biggest common factor number is the GCF number.
So the greatest common factor 18990 and 18994 is 2.
Also check out the Least Common Multiple of 18990 and 18994
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