What is the Greatest Common Factor of 91734 and 91738?

Greatest common factor (GCF) of 91734 and 91738 is 2.

GCF(91734,91738) = 2

We will now calculate the prime factors of 91734 and 91738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91734 and 91738.

How to find the GCF of 91734 and 91738?

We will first find the prime factorization of 91734 and 91738. After we will calculate the factors of 91734 and 91738 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 91738

Prime factors of 91738 are 2, 45869. Prime factorization of 91738 in exponential form is:

91738 = 2¹ × 45869¹

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 91738

List of positive integer factors of 91738 that divides 91734 without a remainder.

1, 2, 45869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91734 and 91738. The biggest common factor number is the GCF number.
So the greatest common factor 91734 and 91738 is 2.

Also check out the Least Common Multiple of 91734 and 91738