What is the Greatest Common Factor of 99967 and 99981?

Greatest common factor (GCF) of 99967 and 99981 is 7.

GCF(99967,99981) = 7

We will now calculate the prime factors of 99967 and 99981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99967 and 99981.

How to find the GCF of 99967 and 99981?

We will first find the prime factorization of 99967 and 99981. After we will calculate the factors of 99967 and 99981 and find the biggest common factor number .

Step-1: Prime Factorization of 99967

Prime factors of 99967 are 7, 14281. Prime factorization of 99967 in exponential form is:

99967 = 7¹ × 14281¹

Step-2: Prime Factorization of 99981

Prime factors of 99981 are 3, 7, 23. Prime factorization of 99981 in exponential form is:

99981 = 3³ × 7¹ × 23²

Step-3: Factors of 99967

List of positive integer factors of 99967 that divides 99967 without a remainder.

1, 7, 14281

Step-4: Factors of 99981

List of positive integer factors of 99981 that divides 99967 without a remainder.

1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 529, 621, 1449, 1587, 3703, 4347, 4761, 11109, 14283, 33327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99967 and 99981. The biggest common factor number is the GCF number.
So the greatest common factor 99967 and 99981 is 7.

Also check out the Least Common Multiple of 99967 and 99981