What is the Greatest Common Factor of 91658 and 91665?

Greatest common factor (GCF) of 91658 and 91665 is 7.

GCF(91658,91665) = 7

We will now calculate the prime factors of 91658 and 91665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91658 and 91665.

How to find the GCF of 91658 and 91665?

We will first find the prime factorization of 91658 and 91665. After we will calculate the factors of 91658 and 91665 and find the biggest common factor number .

Step-1: Prime Factorization of 91658

Prime factors of 91658 are 2, 7, 6547. Prime factorization of 91658 in exponential form is:

91658 = 2¹ × 7¹ × 6547¹

Step-2: Prime Factorization of 91665

Prime factors of 91665 are 3, 5, 7, 97. Prime factorization of 91665 in exponential form is:

91665 = 3³ × 5¹ × 7¹ × 97¹

Step-3: Factors of 91658

List of positive integer factors of 91658 that divides 91658 without a remainder.

1, 2, 7, 14, 6547, 13094, 45829

Step-4: Factors of 91665

List of positive integer factors of 91665 that divides 91658 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 97, 105, 135, 189, 291, 315, 485, 679, 873, 945, 1455, 2037, 2619, 3395, 4365, 6111, 10185, 13095, 18333, 30555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91658 and 91665. The biggest common factor number is the GCF number.
So the greatest common factor 91658 and 91665 is 7.

Also check out the Least Common Multiple of 91658 and 91665