What is the Greatest Common Factor of 13771 and 13775?
Greatest common factor (GCF) of 13771 and 13775 is 1.
GCF(13771,13775) = 1
We will now calculate the prime factors of 13771 and 13775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13771 and 13775.
How to find the GCF of 13771 and 13775?
We will first find the prime factorization of 13771 and 13775. After we will calculate the factors of 13771 and 13775 and find the biggest common factor number .
Step-1: Prime Factorization of 13771
Prime factors of 13771 are 47, 293. Prime factorization of 13771 in exponential form is:
13771 = 471 × 2931
Step-2: Prime Factorization of 13775
Prime factors of 13775 are 5, 19, 29. Prime factorization of 13775 in exponential form is:
13775 = 52 × 191 × 291
Step-3: Factors of 13771
List of positive integer factors of 13771 that divides 13771 without a remainder.
1, 47, 293
Step-4: Factors of 13775
List of positive integer factors of 13775 that divides 13771 without a remainder.
1, 5, 19, 25, 29, 95, 145, 475, 551, 725, 2755
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13771 and 13775. The biggest common factor number is the GCF number.
So the greatest common factor 13771 and 13775 is 1.
Also check out the Least Common Multiple of 13771 and 13775
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Related Greatest Common Factors of 13775
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