What is the Greatest Common Factor of 27570 and 27589?
Greatest common factor (GCF) of 27570 and 27589 is 1.
GCF(27570,27589) = 1
We will now calculate the prime factors of 27570 and 27589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27570 and 27589.
How to find the GCF of 27570 and 27589?
We will first find the prime factorization of 27570 and 27589. After we will calculate the factors of 27570 and 27589 and find the biggest common factor number .
Step-1: Prime Factorization of 27570
Prime factors of 27570 are 2, 3, 5, 919. Prime factorization of 27570 in exponential form is:
27570 = 21 × 31 × 51 × 9191
Step-2: Prime Factorization of 27589
Prime factors of 27589 are 47, 587. Prime factorization of 27589 in exponential form is:
27589 = 471 × 5871
Step-3: Factors of 27570
List of positive integer factors of 27570 that divides 27570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 919, 1838, 2757, 4595, 5514, 9190, 13785
Step-4: Factors of 27589
List of positive integer factors of 27589 that divides 27570 without a remainder.
1, 47, 587
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27570 and 27589. The biggest common factor number is the GCF number.
So the greatest common factor 27570 and 27589 is 1.
Also check out the Least Common Multiple of 27570 and 27589
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