What is the Greatest Common Factor of 28445 and 28458?
Greatest common factor (GCF) of 28445 and 28458 is 1.
GCF(28445,28458) = 1
We will now calculate the prime factors of 28445 and 28458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28445 and 28458.
How to find the GCF of 28445 and 28458?
We will first find the prime factorization of 28445 and 28458. After we will calculate the factors of 28445 and 28458 and find the biggest common factor number .
Step-1: Prime Factorization of 28445
Prime factors of 28445 are 5, 5689. Prime factorization of 28445 in exponential form is:
28445 = 51 × 56891
Step-2: Prime Factorization of 28458
Prime factors of 28458 are 2, 3, 17, 31. Prime factorization of 28458 in exponential form is:
28458 = 21 × 33 × 171 × 311
Step-3: Factors of 28445
List of positive integer factors of 28445 that divides 28445 without a remainder.
1, 5, 5689
Step-4: Factors of 28458
List of positive integer factors of 28458 that divides 28445 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 31, 34, 51, 54, 62, 93, 102, 153, 186, 279, 306, 459, 527, 558, 837, 918, 1054, 1581, 1674, 3162, 4743, 9486, 14229
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28445 and 28458. The biggest common factor number is the GCF number.
So the greatest common factor 28445 and 28458 is 1.
Also check out the Least Common Multiple of 28445 and 28458
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