What is the Greatest Common Factor of 91735 and 91742?

Greatest common factor (GCF) of 91735 and 91742 is 7.

GCF(91735,91742) = 7

We will now calculate the prime factors of 91735 and 91742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91735 and 91742.

How to find the GCF of 91735 and 91742?

We will first find the prime factorization of 91735 and 91742. After we will calculate the factors of 91735 and 91742 and find the biggest common factor number .

Step-1: Prime Factorization of 91735

Prime factors of 91735 are 5, 7, 2621. Prime factorization of 91735 in exponential form is:

91735 = 5¹ × 7¹ × 2621¹

Step-2: 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-3: Factors of 91735

List of positive integer factors of 91735 that divides 91735 without a remainder.

1, 5, 7, 35, 2621, 13105, 18347

Step-4: Factors of 91742

List of positive integer factors of 91742 that divides 91735 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91735 and 91742. The biggest common factor number is the GCF number.
So the greatest common factor 91735 and 91742 is 7.

Also check out the Least Common Multiple of 91735 and 91742