What is the Greatest Common Factor of 99064 and 99068?

Greatest common factor (GCF) of 99064 and 99068 is 4.

GCF(99064,99068) = 4

We will now calculate the prime factors of 99064 and 99068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99064 and 99068.

How to find the GCF of 99064 and 99068?

We will first find the prime factorization of 99064 and 99068. After we will calculate the factors of 99064 and 99068 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99068

Prime factors of 99068 are 2, 24767. Prime factorization of 99068 in exponential form is:

99068 = 2² × 24767¹

Step-3: Factors of 99064

List of positive integer factors of 99064 that divides 99064 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

Step-4: Factors of 99068

List of positive integer factors of 99068 that divides 99064 without a remainder.

1, 2, 4, 24767, 49534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99064 and 99068. The biggest common factor number is the GCF number.
So the greatest common factor 99064 and 99068 is 4.

Also check out the Least Common Multiple of 99064 and 99068