What is the Greatest Common Factor of 91648 and 91658?

Greatest common factor (GCF) of 91648 and 91658 is 2.

GCF(91648,91658) = 2

We will now calculate the prime factors of 91648 and 91658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91648 and 91658.

How to find the GCF of 91648 and 91658?

We will first find the prime factorization of 91648 and 91658. After we will calculate the factors of 91648 and 91658 and find the biggest common factor number .

Step-1: Prime Factorization of 91648

Prime factors of 91648 are 2, 179. Prime factorization of 91648 in exponential form is:

91648 = 2⁹ × 179¹

Step-2: 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-3: Factors of 91648

List of positive integer factors of 91648 that divides 91648 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 179, 256, 358, 512, 716, 1432, 2864, 5728, 11456, 22912, 45824

Step-4: Factors of 91658

List of positive integer factors of 91658 that divides 91648 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91648 and 91658. The biggest common factor number is the GCF number.
So the greatest common factor 91648 and 91658 is 2.

Also check out the Least Common Multiple of 91648 and 91658