What is the Greatest Common Factor of 43524 and 43537?
Greatest common factor (GCF) of 43524 and 43537 is 13.
GCF(43524,43537) = 13
We will now calculate the prime factors of 43524 and 43537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43524 and 43537.
How to find the GCF of 43524 and 43537?
We will first find the prime factorization of 43524 and 43537. After we will calculate the factors of 43524 and 43537 and find the biggest common factor number .
Step-1: Prime Factorization of 43524
Prime factors of 43524 are 2, 3, 13, 31. Prime factorization of 43524 in exponential form is:
43524 = 22 × 33 × 131 × 311
Step-2: Prime Factorization of 43537
Prime factors of 43537 are 13, 17, 197. Prime factorization of 43537 in exponential form is:
43537 = 131 × 171 × 1971
Step-3: Factors of 43524
List of positive integer factors of 43524 that divides 43524 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 31, 36, 39, 52, 54, 62, 78, 93, 108, 117, 124, 156, 186, 234, 279, 351, 372, 403, 468, 558, 702, 806, 837, 1116, 1209, 1404, 1612, 1674, 2418, 3348, 3627, 4836, 7254, 10881, 14508, 21762
Step-4: Factors of 43537
List of positive integer factors of 43537 that divides 43524 without a remainder.
1, 13, 17, 197, 221, 2561, 3349
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 43524 and 43537. The biggest common factor number is the GCF number.
So the greatest common factor 43524 and 43537 is 13.
Also check out the Least Common Multiple of 43524 and 43537
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