What is the Greatest Common Factor of 27550 and 27559?
Greatest common factor (GCF) of 27550 and 27559 is 1.
GCF(27550,27559) = 1
We will now calculate the prime factors of 27550 and 27559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27550 and 27559.
How to find the GCF of 27550 and 27559?
We will first find the prime factorization of 27550 and 27559. After we will calculate the factors of 27550 and 27559 and find the biggest common factor number .
Step-1: Prime Factorization of 27550
Prime factors of 27550 are 2, 5, 19, 29. Prime factorization of 27550 in exponential form is:
27550 = 21 × 52 × 191 × 291
Step-2: Prime Factorization of 27559
Prime factors of 27559 are 7, 31, 127. Prime factorization of 27559 in exponential form is:
27559 = 71 × 311 × 1271
Step-3: Factors of 27550
List of positive integer factors of 27550 that divides 27550 without a remainder.
1, 2, 5, 10, 19, 25, 29, 38, 50, 58, 95, 145, 190, 290, 475, 551, 725, 950, 1102, 1450, 2755, 5510, 13775
Step-4: Factors of 27559
List of positive integer factors of 27559 that divides 27550 without a remainder.
1, 7, 31, 127, 217, 889, 3937
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27550 and 27559. The biggest common factor number is the GCF number.
So the greatest common factor 27550 and 27559 is 1.
Also check out the Least Common Multiple of 27550 and 27559
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