What is the Greatest Common Factor of 43395 and 43414?
Greatest common factor (GCF) of 43395 and 43414 is 1.
GCF(43395,43414) = 1
We will now calculate the prime factors of 43395 and 43414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43395 and 43414.
How to find the GCF of 43395 and 43414?
We will first find the prime factorization of 43395 and 43414. After we will calculate the factors of 43395 and 43414 and find the biggest common factor number .
Step-1: Prime Factorization of 43395
Prime factors of 43395 are 3, 5, 11, 263. Prime factorization of 43395 in exponential form is:
43395 = 31 × 51 × 111 × 2631
Step-2: Prime Factorization of 43414
Prime factors of 43414 are 2, 7, 443. Prime factorization of 43414 in exponential form is:
43414 = 21 × 72 × 4431
Step-3: Factors of 43395
List of positive integer factors of 43395 that divides 43395 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165, 263, 789, 1315, 2893, 3945, 8679, 14465
Step-4: Factors of 43414
List of positive integer factors of 43414 that divides 43395 without a remainder.
1, 2, 7, 14, 49, 98, 443, 886, 3101, 6202, 21707
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 43395 and 43414. The biggest common factor number is the GCF number.
So the greatest common factor 43395 and 43414 is 1.
Also check out the Least Common Multiple of 43395 and 43414
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