What is the Greatest Common Factor of 40014 and 40018?
Greatest common factor (GCF) of 40014 and 40018 is 2.
GCF(40014,40018) = 2
We will now calculate the prime factors of 40014 and 40018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40014 and 40018.
How to find the GCF of 40014 and 40018?
We will first find the prime factorization of 40014 and 40018. After we will calculate the factors of 40014 and 40018 and find the biggest common factor number .
Step-1: Prime Factorization of 40014
Prime factors of 40014 are 2, 3, 13, 19. Prime factorization of 40014 in exponential form is:
40014 = 21 × 34 × 131 × 191
Step-2: 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-3: Factors of 40014
List of positive integer factors of 40014 that divides 40014 without a remainder.
1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 81, 114, 117, 162, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1053, 1482, 1539, 2106, 2223, 3078, 4446, 6669, 13338, 20007
Step-4: Factors of 40018
List of positive integer factors of 40018 that divides 40014 without a remainder.
1, 2, 11, 17, 22, 34, 107, 187, 214, 374, 1177, 1819, 2354, 3638, 20009
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 40014 and 40018. The biggest common factor number is the GCF number.
So the greatest common factor 40014 and 40018 is 2.
Also check out the Least Common Multiple of 40014 and 40018
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