What is the Greatest Common Factor of 28590 and 28595?
Greatest common factor (GCF) of 28590 and 28595 is 5.
GCF(28590,28595) = 5
We will now calculate the prime factors of 28590 and 28595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28590 and 28595.
How to find the GCF of 28590 and 28595?
We will first find the prime factorization of 28590 and 28595. After we will calculate the factors of 28590 and 28595 and find the biggest common factor number .
Step-1: Prime Factorization of 28590
Prime factors of 28590 are 2, 3, 5, 953. Prime factorization of 28590 in exponential form is:
28590 = 21 × 31 × 51 × 9531
Step-2: Prime Factorization of 28595
Prime factors of 28595 are 5, 7, 19, 43. Prime factorization of 28595 in exponential form is:
28595 = 51 × 71 × 191 × 431
Step-3: Factors of 28590
List of positive integer factors of 28590 that divides 28590 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 953, 1906, 2859, 4765, 5718, 9530, 14295
Step-4: Factors of 28595
List of positive integer factors of 28595 that divides 28590 without a remainder.
1, 5, 7, 19, 35, 43, 95, 133, 215, 301, 665, 817, 1505, 4085, 5719
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28590 and 28595. The biggest common factor number is the GCF number.
So the greatest common factor 28590 and 28595 is 5.
Also check out the Least Common Multiple of 28590 and 28595
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