What is the Greatest Common Factor of 91632 and 91648?

Greatest common factor (GCF) of 91632 and 91648 is 16.

GCF(91632,91648) = 16

We will now calculate the prime factors of 91632 and 91648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91632 and 91648.

How to find the GCF of 91632 and 91648?

We will first find the prime factorization of 91632 and 91648. After we will calculate the factors of 91632 and 91648 and find the biggest common factor number .

Step-1: Prime Factorization of 91632

Prime factors of 91632 are 2, 3, 23, 83. Prime factorization of 91632 in exponential form is:

91632 = 2⁴ × 3¹ × 23¹ × 83¹

Step-2: Prime Factorization of 91648

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

91648 = 2⁹ × 179¹

Step-3: Factors of 91632

List of positive integer factors of 91632 that divides 91632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 83, 92, 138, 166, 184, 249, 276, 332, 368, 498, 552, 664, 996, 1104, 1328, 1909, 1992, 3818, 3984, 5727, 7636, 11454, 15272, 22908, 30544, 45816

Step-4: Factors of 91648

List of positive integer factors of 91648 that divides 91632 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91632 and 91648. The biggest common factor number is the GCF number.
So the greatest common factor 91632 and 91648 is 16.

Also check out the Least Common Multiple of 91632 and 91648