What is the Greatest Common Factor of 99972 and 99990?

Greatest common factor (GCF) of 99972 and 99990 is 18.

GCF(99972,99990) = 18

We will now calculate the prime factors of 99972 and 99990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99972 and 99990.

How to find the GCF of 99972 and 99990?

We will first find the prime factorization of 99972 and 99990. After we will calculate the factors of 99972 and 99990 and find the biggest common factor number .

Step-1: Prime Factorization of 99972

Prime factors of 99972 are 2, 3, 2777. Prime factorization of 99972 in exponential form is:

99972 = 2² × 3² × 2777¹

Step-2: Prime Factorization of 99990

Prime factors of 99990 are 2, 3, 5, 11, 101. Prime factorization of 99990 in exponential form is:

99990 = 2¹ × 3² × 5¹ × 11¹ × 101¹

Step-3: Factors of 99972

List of positive integer factors of 99972 that divides 99972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2777, 5554, 8331, 11108, 16662, 24993, 33324, 49986

Step-4: Factors of 99990

List of positive integer factors of 99990 that divides 99972 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 101, 110, 165, 198, 202, 303, 330, 495, 505, 606, 909, 990, 1010, 1111, 1515, 1818, 2222, 3030, 3333, 4545, 5555, 6666, 9090, 9999, 11110, 16665, 19998, 33330, 49995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99972 and 99990. The biggest common factor number is the GCF number.
So the greatest common factor 99972 and 99990 is 18.

Also check out the Least Common Multiple of 99972 and 99990