What is the Greatest Common Factor of 28543 and 28552?
Greatest common factor (GCF) of 28543 and 28552 is 1.
GCF(28543,28552) = 1
We will now calculate the prime factors of 28543 and 28552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28543 and 28552.
How to find the GCF of 28543 and 28552?
We will first find the prime factorization of 28543 and 28552. After we will calculate the factors of 28543 and 28552 and find the biggest common factor number .
Step-1: Prime Factorization of 28543
Prime factors of 28543 are 17, 23, 73. Prime factorization of 28543 in exponential form is:
28543 = 171 × 231 × 731
Step-2: Prime Factorization of 28552
Prime factors of 28552 are 2, 43, 83. Prime factorization of 28552 in exponential form is:
28552 = 23 × 431 × 831
Step-3: Factors of 28543
List of positive integer factors of 28543 that divides 28543 without a remainder.
1, 17, 23, 73, 391, 1241, 1679
Step-4: Factors of 28552
List of positive integer factors of 28552 that divides 28543 without a remainder.
1, 2, 4, 8, 43, 83, 86, 166, 172, 332, 344, 664, 3569, 7138, 14276
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28543 and 28552. The biggest common factor number is the GCF number.
So the greatest common factor 28543 and 28552 is 1.
Also check out the Least Common Multiple of 28543 and 28552
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