What is the Greatest Common Factor of 99820 and 99827?

Greatest common factor (GCF) of 99820 and 99827 is 7.

GCF(99820,99827) = 7

We will now calculate the prime factors of 99820 and 99827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99820 and 99827.

How to find the GCF of 99820 and 99827?

We will first find the prime factorization of 99820 and 99827. After we will calculate the factors of 99820 and 99827 and find the biggest common factor number .

Step-1: Prime Factorization of 99820

Prime factors of 99820 are 2, 5, 7, 23, 31. Prime factorization of 99820 in exponential form is:

99820 = 2² × 5¹ × 7¹ × 23¹ × 31¹

Step-2: Prime Factorization of 99827

Prime factors of 99827 are 7, 13, 1097. Prime factorization of 99827 in exponential form is:

99827 = 7¹ × 13¹ × 1097¹

Step-3: Factors of 99820

List of positive integer factors of 99820 that divides 99820 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 31, 35, 46, 62, 70, 92, 115, 124, 140, 155, 161, 217, 230, 310, 322, 434, 460, 620, 644, 713, 805, 868, 1085, 1426, 1610, 2170, 2852, 3220, 3565, 4340, 4991, 7130, 9982, 14260, 19964, 24955, 49910

Step-4: Factors of 99827

List of positive integer factors of 99827 that divides 99820 without a remainder.

1, 7, 13, 91, 1097, 7679, 14261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99820 and 99827. The biggest common factor number is the GCF number.
So the greatest common factor 99820 and 99827 is 7.

Also check out the Least Common Multiple of 99820 and 99827