What is the Greatest Common Factor of 91742 and 91749?

Greatest common factor (GCF) of 91742 and 91749 is 7.

GCF(91742,91749) = 7

We will now calculate the prime factors of 91742 and 91749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91742 and 91749.

How to find the GCF of 91742 and 91749?

We will first find the prime factorization of 91742 and 91749. After we will calculate the factors of 91742 and 91749 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 91749

Prime factors of 91749 are 3, 7, 17, 257. Prime factorization of 91749 in exponential form is:

91749 = 3¹ × 7¹ × 17¹ × 257¹

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 91749

List of positive integer factors of 91749 that divides 91742 without a remainder.

1, 3, 7, 17, 21, 51, 119, 257, 357, 771, 1799, 4369, 5397, 13107, 30583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91742 and 91749. The biggest common factor number is the GCF number.
So the greatest common factor 91742 and 91749 is 7.

Also check out the Least Common Multiple of 91742 and 91749