What is the Greatest Common Factor of 43104 and 43122?
Greatest common factor (GCF) of 43104 and 43122 is 6.
GCF(43104,43122) = 6
We will now calculate the prime factors of 43104 and 43122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43104 and 43122.
How to find the GCF of 43104 and 43122?
We will first find the prime factorization of 43104 and 43122. After we will calculate the factors of 43104 and 43122 and find the biggest common factor number .
Step-1: Prime Factorization of 43104
Prime factors of 43104 are 2, 3, 449. Prime factorization of 43104 in exponential form is:
43104 = 25 × 31 × 4491
Step-2: Prime Factorization of 43122
Prime factors of 43122 are 2, 3, 7187. Prime factorization of 43122 in exponential form is:
43122 = 21 × 31 × 71871
Step-3: Factors of 43104
List of positive integer factors of 43104 that divides 43104 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 449, 898, 1347, 1796, 2694, 3592, 5388, 7184, 10776, 14368, 21552
Step-4: Factors of 43122
List of positive integer factors of 43122 that divides 43104 without a remainder.
1, 2, 3, 6, 7187, 14374, 21561
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 43104 and 43122. The biggest common factor number is the GCF number.
So the greatest common factor 43104 and 43122 is 6.
Also check out the Least Common Multiple of 43104 and 43122
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