What is the Greatest Common Factor of 43036 and 43052?
Greatest common factor (GCF) of 43036 and 43052 is 4.
GCF(43036,43052) = 4
We will now calculate the prime factors of 43036 and 43052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43036 and 43052.
How to find the GCF of 43036 and 43052?
We will first find the prime factorization of 43036 and 43052. After we will calculate the factors of 43036 and 43052 and find the biggest common factor number .
Step-1: Prime Factorization of 43036
Prime factors of 43036 are 2, 7, 29, 53. Prime factorization of 43036 in exponential form is:
43036 = 22 × 71 × 291 × 531
Step-2: Prime Factorization of 43052
Prime factors of 43052 are 2, 47, 229. Prime factorization of 43052 in exponential form is:
43052 = 22 × 471 × 2291
Step-3: Factors of 43036
List of positive integer factors of 43036 that divides 43036 without a remainder.
1, 2, 4, 7, 14, 28, 29, 53, 58, 106, 116, 203, 212, 371, 406, 742, 812, 1484, 1537, 3074, 6148, 10759, 21518
Step-4: Factors of 43052
List of positive integer factors of 43052 that divides 43036 without a remainder.
1, 2, 4, 47, 94, 188, 229, 458, 916, 10763, 21526
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 43036 and 43052. The biggest common factor number is the GCF number.
So the greatest common factor 43036 and 43052 is 4.
Also check out the Least Common Multiple of 43036 and 43052
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