What is the Greatest Common Factor of 91742 and 91748?

Greatest common factor (GCF) of 91742 and 91748 is 2.

GCF(91742,91748) = 2

We will now calculate the prime factors of 91742 and 91748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91742 and 91748.

How to find the GCF of 91742 and 91748?

We will first find the prime factorization of 91742 and 91748. After we will calculate the factors of 91742 and 91748 and find the biggest common factor number .

Step-1: Prime Factorization of 91742

Prime factors of 91742 are 2, 7, 6553. Prime factorization of 91742 in exponential form is:

91742 = 2¹ × 7¹ × 6553¹

Step-2: Prime Factorization of 91748

Prime factors of 91748 are 2, 22937. Prime factorization of 91748 in exponential form is:

91748 = 2² × 22937¹

Step-3: Factors of 91742

List of positive integer factors of 91742 that divides 91742 without a remainder.

1, 2, 7, 14, 6553, 13106, 45871

Step-4: Factors of 91748

List of positive integer factors of 91748 that divides 91742 without a remainder.

1, 2, 4, 22937, 45874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91742 and 91748. The biggest common factor number is the GCF number.
So the greatest common factor 91742 and 91748 is 2.

Also check out the Least Common Multiple of 91742 and 91748