What is the Greatest Common Factor of 27742 and 27757?

Greatest common factor (GCF) of 27742 and 27757 is 1.

GCF(27742,27757) = 1

We will now calculate the prime factors of 27742 and 27757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27742 and 27757.

How to find the GCF of 27742 and 27757?

We will first find the prime factorization of 27742 and 27757. After we will calculate the factors of 27742 and 27757 and find the biggest common factor number .

Step-1: Prime Factorization of 27742

Prime factors of 27742 are 2, 11, 13, 97. Prime factorization of 27742 in exponential form is:

27742 = 2¹ × 11¹ × 13¹ × 97¹

Step-2: Prime Factorization of 27757

Prime factors of 27757 are 41, 677. Prime factorization of 27757 in exponential form is:

27757 = 41¹ × 677¹

Step-3: Factors of 27742

List of positive integer factors of 27742 that divides 27742 without a remainder.

1, 2, 11, 13, 22, 26, 97, 143, 194, 286, 1067, 1261, 2134, 2522, 13871

Step-4: Factors of 27757

List of positive integer factors of 27757 that divides 27742 without a remainder.

1, 41, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27742 and 27757. The biggest common factor number is the GCF number.
So the greatest common factor 27742 and 27757 is 1.

Also check out the Least Common Multiple of 27742 and 27757