What is the Greatest Common Factor of 27742 and 27749?

Greatest common factor (GCF) of 27742 and 27749 is 1.

GCF(27742,27749) = 1

We will now calculate the prime factors of 27742 and 27749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27742 and 27749.

How to find the GCF of 27742 and 27749?

We will first find the prime factorization of 27742 and 27749. After we will calculate the factors of 27742 and 27749 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 27749

Prime factors of 27749 are 27749. Prime factorization of 27749 in exponential form is:

27749 = 27749¹

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 27749

List of positive integer factors of 27749 that divides 27742 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27742 and 27749. The biggest common factor number is the GCF number.
So the greatest common factor 27742 and 27749 is 1.

Also check out the Least Common Multiple of 27742 and 27749