What is the Greatest Common Factor of 41430 and 41450?
Greatest common factor (GCF) of 41430 and 41450 is 10.
GCF(41430,41450) = 10
We will now calculate the prime factors of 41430 and 41450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41430 and 41450.
How to find the GCF of 41430 and 41450?
We will first find the prime factorization of 41430 and 41450. After we will calculate the factors of 41430 and 41450 and find the biggest common factor number .
Step-1: Prime Factorization of 41430
Prime factors of 41430 are 2, 3, 5, 1381. Prime factorization of 41430 in exponential form is:
41430 = 21 × 31 × 51 × 13811
Step-2: Prime Factorization of 41450
Prime factors of 41450 are 2, 5, 829. Prime factorization of 41450 in exponential form is:
41450 = 21 × 52 × 8291
Step-3: Factors of 41430
List of positive integer factors of 41430 that divides 41430 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 1381, 2762, 4143, 6905, 8286, 13810, 20715
Step-4: Factors of 41450
List of positive integer factors of 41450 that divides 41430 without a remainder.
1, 2, 5, 10, 25, 50, 829, 1658, 4145, 8290, 20725
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 41430 and 41450. The biggest common factor number is the GCF number.
So the greatest common factor 41430 and 41450 is 10.
Also check out the Least Common Multiple of 41430 and 41450
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