What is the Greatest Common Factor of 91742 and 91760?

Greatest common factor (GCF) of 91742 and 91760 is 2.

GCF(91742,91760) = 2

We will now calculate the prime factors of 91742 and 91760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91742 and 91760.

How to find the GCF of 91742 and 91760?

We will first find the prime factorization of 91742 and 91760. After we will calculate the factors of 91742 and 91760 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 91760

Prime factors of 91760 are 2, 5, 31, 37. Prime factorization of 91760 in exponential form is:

91760 = 2⁴ × 5¹ × 31¹ × 37¹

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 91760

List of positive integer factors of 91760 that divides 91742 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 37, 40, 62, 74, 80, 124, 148, 155, 185, 248, 296, 310, 370, 496, 592, 620, 740, 1147, 1240, 1480, 2294, 2480, 2960, 4588, 5735, 9176, 11470, 18352, 22940, 45880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91742 and 91760. The biggest common factor number is the GCF number.
So the greatest common factor 91742 and 91760 is 2.

Also check out the Least Common Multiple of 91742 and 91760