What is the Greatest Common Factor of 91628 and 91632?

Greatest common factor (GCF) of 91628 and 91632 is 4.

GCF(91628,91632) = 4

We will now calculate the prime factors of 91628 and 91632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91628 and 91632.

How to find the GCF of 91628 and 91632?

We will first find the prime factorization of 91628 and 91632. After we will calculate the factors of 91628 and 91632 and find the biggest common factor number .

Step-1: Prime Factorization of 91628

Prime factors of 91628 are 2, 22907. Prime factorization of 91628 in exponential form is:

91628 = 2² × 22907¹

Step-2: 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-3: Factors of 91628

List of positive integer factors of 91628 that divides 91628 without a remainder.

1, 2, 4, 22907, 45814

Step-4: Factors of 91632

List of positive integer factors of 91632 that divides 91628 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91628 and 91632. The biggest common factor number is the GCF number.
So the greatest common factor 91628 and 91632 is 4.

Also check out the Least Common Multiple of 91628 and 91632