What is the Greatest Common Factor of 91648 and 91652?

Greatest common factor (GCF) of 91648 and 91652 is 4.

GCF(91648,91652) = 4

We will now calculate the prime factors of 91648 and 91652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91648 and 91652.

How to find the GCF of 91648 and 91652?

We will first find the prime factorization of 91648 and 91652. After we will calculate the factors of 91648 and 91652 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 91652

Prime factors of 91652 are 2, 11, 2083. Prime factorization of 91652 in exponential form is:

91652 = 2² × 11¹ × 2083¹

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 91652

List of positive integer factors of 91652 that divides 91648 without a remainder.

1, 2, 4, 11, 22, 44, 2083, 4166, 8332, 22913, 45826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91648 and 91652. The biggest common factor number is the GCF number.
So the greatest common factor 91648 and 91652 is 4.

Also check out the Least Common Multiple of 91648 and 91652