What is the Greatest Common Factor of 99616 and 99628?

Greatest common factor (GCF) of 99616 and 99628 is 4.

GCF(99616,99628) = 4

We will now calculate the prime factors of 99616 and 99628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99616 and 99628.

How to find the GCF of 99616 and 99628?

We will first find the prime factorization of 99616 and 99628. After we will calculate the factors of 99616 and 99628 and find the biggest common factor number .

Step-1: Prime Factorization of 99616

Prime factors of 99616 are 2, 11, 283. Prime factorization of 99616 in exponential form is:

99616 = 2⁵ × 11¹ × 283¹

Step-2: Prime Factorization of 99628

Prime factors of 99628 are 2, 24907. Prime factorization of 99628 in exponential form is:

99628 = 2² × 24907¹

Step-3: Factors of 99616

List of positive integer factors of 99616 that divides 99616 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 283, 352, 566, 1132, 2264, 3113, 4528, 6226, 9056, 12452, 24904, 49808

Step-4: Factors of 99628

List of positive integer factors of 99628 that divides 99616 without a remainder.

1, 2, 4, 24907, 49814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99616 and 99628. The biggest common factor number is the GCF number.
So the greatest common factor 99616 and 99628 is 4.

Also check out the Least Common Multiple of 99616 and 99628