What is the Greatest Common Factor of 50040 and 50046?
Greatest common factor (GCF) of 50040 and 50046 is 6.
GCF(50040,50046) = 6
We will now calculate the prime factors of 50040 and 50046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50040 and 50046.
How to find the GCF of 50040 and 50046?
We will first find the prime factorization of 50040 and 50046. After we will calculate the factors of 50040 and 50046 and find the biggest common factor number .
Step-1: Prime Factorization of 50040
Prime factors of 50040 are 2, 3, 5, 139. Prime factorization of 50040 in exponential form is:
50040 = 23 × 32 × 51 × 1391
Step-2: Prime Factorization of 50046
Prime factors of 50046 are 2, 3, 19, 439. Prime factorization of 50046 in exponential form is:
50046 = 21 × 31 × 191 × 4391
Step-3: Factors of 50040
List of positive integer factors of 50040 that divides 50040 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 139, 180, 278, 360, 417, 556, 695, 834, 1112, 1251, 1390, 1668, 2085, 2502, 2780, 3336, 4170, 5004, 5560, 6255, 8340, 10008, 12510, 16680, 25020
Step-4: Factors of 50046
List of positive integer factors of 50046 that divides 50040 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114, 439, 878, 1317, 2634, 8341, 16682, 25023
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 50040 and 50046. The biggest common factor number is the GCF number.
So the greatest common factor 50040 and 50046 is 6.
Also check out the Least Common Multiple of 50040 and 50046
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