What is the Greatest Common Factor of 99720 and 99732?

Greatest common factor (GCF) of 99720 and 99732 is 12.

GCF(99720,99732) = 12

We will now calculate the prime factors of 99720 and 99732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99720 and 99732.

How to find the GCF of 99720 and 99732?

We will first find the prime factorization of 99720 and 99732. After we will calculate the factors of 99720 and 99732 and find the biggest common factor number .

Step-1: Prime Factorization of 99720

Prime factors of 99720 are 2, 3, 5, 277. Prime factorization of 99720 in exponential form is:

99720 = 2³ × 3² × 5¹ × 277¹

Step-2: Prime Factorization of 99732

Prime factors of 99732 are 2, 3, 8311. Prime factorization of 99732 in exponential form is:

99732 = 2² × 3¹ × 8311¹

Step-3: Factors of 99720

List of positive integer factors of 99720 that divides 99720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 277, 360, 554, 831, 1108, 1385, 1662, 2216, 2493, 2770, 3324, 4155, 4986, 5540, 6648, 8310, 9972, 11080, 12465, 16620, 19944, 24930, 33240, 49860

Step-4: Factors of 99732

List of positive integer factors of 99732 that divides 99720 without a remainder.

1, 2, 3, 4, 6, 12, 8311, 16622, 24933, 33244, 49866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99720 and 99732. The biggest common factor number is the GCF number.
So the greatest common factor 99720 and 99732 is 12.

Also check out the Least Common Multiple of 99720 and 99732