What is the Greatest Common Factor of 91734 and 91740?

Greatest common factor (GCF) of 91734 and 91740 is 6.

GCF(91734,91740) = 6

We will now calculate the prime factors of 91734 and 91740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91734 and 91740.

How to find the GCF of 91734 and 91740?

We will first find the prime factorization of 91734 and 91740. After we will calculate the factors of 91734 and 91740 and find the biggest common factor number .

Step-1: Prime Factorization of 91734

Prime factors of 91734 are 2, 3, 15289. Prime factorization of 91734 in exponential form is:

91734 = 2¹ × 3¹ × 15289¹

Step-2: Prime Factorization of 91740

Prime factors of 91740 are 2, 3, 5, 11, 139. Prime factorization of 91740 in exponential form is:

91740 = 2² × 3¹ × 5¹ × 11¹ × 139¹

Step-3: Factors of 91734

List of positive integer factors of 91734 that divides 91734 without a remainder.

1, 2, 3, 6, 15289, 30578, 45867

Step-4: Factors of 91740

List of positive integer factors of 91740 that divides 91734 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 139, 165, 220, 278, 330, 417, 556, 660, 695, 834, 1390, 1529, 1668, 2085, 2780, 3058, 4170, 4587, 6116, 7645, 8340, 9174, 15290, 18348, 22935, 30580, 45870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91734 and 91740. The biggest common factor number is the GCF number.
So the greatest common factor 91734 and 91740 is 6.

Also check out the Least Common Multiple of 91734 and 91740