What is the Greatest Common Factor of 43638 and 43650?
Greatest common factor (GCF) of 43638 and 43650 is 6.
GCF(43638,43650) = 6
We will now calculate the prime factors of 43638 and 43650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43638 and 43650.
How to find the GCF of 43638 and 43650?
We will first find the prime factorization of 43638 and 43650. After we will calculate the factors of 43638 and 43650 and find the biggest common factor number .
Step-1: Prime Factorization of 43638
Prime factors of 43638 are 2, 3, 7, 1039. Prime factorization of 43638 in exponential form is:
43638 = 21 × 31 × 71 × 10391
Step-2: Prime Factorization of 43650
Prime factors of 43650 are 2, 3, 5, 97. Prime factorization of 43650 in exponential form is:
43650 = 21 × 32 × 52 × 971
Step-3: Factors of 43638
List of positive integer factors of 43638 that divides 43638 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 1039, 2078, 3117, 6234, 7273, 14546, 21819
Step-4: Factors of 43650
List of positive integer factors of 43650 that divides 43638 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 97, 150, 194, 225, 291, 450, 485, 582, 873, 970, 1455, 1746, 2425, 2910, 4365, 4850, 7275, 8730, 14550, 21825
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 43638 and 43650. The biggest common factor number is the GCF number.
So the greatest common factor 43638 and 43650 is 6.
Also check out the Least Common Multiple of 43638 and 43650
Related Greatest Common Factors of 43638
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- GCF of 43638 and 43650
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Related Greatest Common Factors of 43650
- GCF of 43650 and 43654
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- GCF of 43650 and 43656
- GCF of 43650 and 43657
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