What is the Greatest Common Factor of 61736 and 61742?

Greatest common factor (GCF) of 61736 and 61742 is 2.

GCF(61736,61742) = 2

We will now calculate the prime factors of 61736 and 61742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61736 and 61742.

How to find the GCF of 61736 and 61742?

We will first find the prime factorization of 61736 and 61742. After we will calculate the factors of 61736 and 61742 and find the biggest common factor number .

Step-1: Prime Factorization of 61736

Prime factors of 61736 are 2, 7717. Prime factorization of 61736 in exponential form is:

61736 = 2³ × 7717¹

Step-2: Prime Factorization of 61742

Prime factors of 61742 are 2, 30871. Prime factorization of 61742 in exponential form is:

61742 = 2¹ × 30871¹

Step-3: Factors of 61736

List of positive integer factors of 61736 that divides 61736 without a remainder.

1, 2, 4, 8, 7717, 15434, 30868

Step-4: Factors of 61742

List of positive integer factors of 61742 that divides 61736 without a remainder.

1, 2, 30871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61736 and 61742. The biggest common factor number is the GCF number.
So the greatest common factor 61736 and 61742 is 2.

Also check out the Least Common Multiple of 61736 and 61742