What is the Greatest Common Factor of 99056 and 99064?

Greatest common factor (GCF) of 99056 and 99064 is 8.

GCF(99056,99064) = 8

We will now calculate the prime factors of 99056 and 99064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99056 and 99064.

How to find the GCF of 99056 and 99064?

We will first find the prime factorization of 99056 and 99064. After we will calculate the factors of 99056 and 99064 and find the biggest common factor number .

Step-1: Prime Factorization of 99056

Prime factors of 99056 are 2, 41, 151. Prime factorization of 99056 in exponential form is:

99056 = 2⁴ × 41¹ × 151¹

Step-2: Prime Factorization of 99064

Prime factors of 99064 are 2, 7, 29, 61. Prime factorization of 99064 in exponential form is:

99064 = 2³ × 7¹ × 29¹ × 61¹

Step-3: Factors of 99056

List of positive integer factors of 99056 that divides 99056 without a remainder.

1, 2, 4, 8, 16, 41, 82, 151, 164, 302, 328, 604, 656, 1208, 2416, 6191, 12382, 24764, 49528

Step-4: Factors of 99064

List of positive integer factors of 99064 that divides 99056 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 61, 116, 122, 203, 232, 244, 406, 427, 488, 812, 854, 1624, 1708, 1769, 3416, 3538, 7076, 12383, 14152, 24766, 49532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99056 and 99064. The biggest common factor number is the GCF number.
So the greatest common factor 99056 and 99064 is 8.

Also check out the Least Common Multiple of 99056 and 99064