What is the Greatest Common Factor of 99660 and 99672?

Greatest common factor (GCF) of 99660 and 99672 is 12.

GCF(99660,99672) = 12

We will now calculate the prime factors of 99660 and 99672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99660 and 99672.

How to find the GCF of 99660 and 99672?

We will first find the prime factorization of 99660 and 99672. After we will calculate the factors of 99660 and 99672 and find the biggest common factor number .

Step-1: Prime Factorization of 99660

Prime factors of 99660 are 2, 3, 5, 11, 151. Prime factorization of 99660 in exponential form is:

99660 = 2² × 3¹ × 5¹ × 11¹ × 151¹

Step-2: Prime Factorization of 99672

Prime factors of 99672 are 2, 3, 4153. Prime factorization of 99672 in exponential form is:

99672 = 2³ × 3¹ × 4153¹

Step-3: Factors of 99660

List of positive integer factors of 99660 that divides 99660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 151, 165, 220, 302, 330, 453, 604, 660, 755, 906, 1510, 1661, 1812, 2265, 3020, 3322, 4530, 4983, 6644, 8305, 9060, 9966, 16610, 19932, 24915, 33220, 49830

Step-4: Factors of 99672

List of positive integer factors of 99672 that divides 99660 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4153, 8306, 12459, 16612, 24918, 33224, 49836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99660 and 99672. The biggest common factor number is the GCF number.
So the greatest common factor 99660 and 99672 is 12.

Also check out the Least Common Multiple of 99660 and 99672