What is the Greatest Common Factor of 40018 and 40029?
Greatest common factor (GCF) of 40018 and 40029 is 11.
GCF(40018,40029) = 11
We will now calculate the prime factors of 40018 and 40029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40018 and 40029.
How to find the GCF of 40018 and 40029?
We will first find the prime factorization of 40018 and 40029. After we will calculate the factors of 40018 and 40029 and find the biggest common factor number .
Step-1: Prime Factorization of 40018
Prime factors of 40018 are 2, 11, 17, 107. Prime factorization of 40018 in exponential form is:
40018 = 21 × 111 × 171 × 1071
Step-2: Prime Factorization of 40029
Prime factors of 40029 are 3, 11, 1213. Prime factorization of 40029 in exponential form is:
40029 = 31 × 111 × 12131
Step-3: Factors of 40018
List of positive integer factors of 40018 that divides 40018 without a remainder.
1, 2, 11, 17, 22, 34, 107, 187, 214, 374, 1177, 1819, 2354, 3638, 20009
Step-4: Factors of 40029
List of positive integer factors of 40029 that divides 40018 without a remainder.
1, 3, 11, 33, 1213, 3639, 13343
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 40018 and 40029. The biggest common factor number is the GCF number.
So the greatest common factor 40018 and 40029 is 11.
Also check out the Least Common Multiple of 40018 and 40029
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