What is the Greatest Common Factor of 14874 and 14892?
Greatest common factor (GCF) of 14874 and 14892 is 6.
GCF(14874,14892) = 6
We will now calculate the prime factors of 14874 and 14892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14874 and 14892.
How to find the GCF of 14874 and 14892?
We will first find the prime factorization of 14874 and 14892. After we will calculate the factors of 14874 and 14892 and find the biggest common factor number .
Step-1: Prime Factorization of 14874
Prime factors of 14874 are 2, 3, 37, 67. Prime factorization of 14874 in exponential form is:
14874 = 21 × 31 × 371 × 671
Step-2: Prime Factorization of 14892
Prime factors of 14892 are 2, 3, 17, 73. Prime factorization of 14892 in exponential form is:
14892 = 22 × 31 × 171 × 731
Step-3: Factors of 14874
List of positive integer factors of 14874 that divides 14874 without a remainder.
1, 2, 3, 6, 37, 67, 74, 111, 134, 201, 222, 402, 2479, 4958, 7437
Step-4: Factors of 14892
List of positive integer factors of 14892 that divides 14874 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 73, 102, 146, 204, 219, 292, 438, 876, 1241, 2482, 3723, 4964, 7446
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14874 and 14892. The biggest common factor number is the GCF number.
So the greatest common factor 14874 and 14892 is 6.
Also check out the Least Common Multiple of 14874 and 14892
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