What is the Greatest Common Factor of 99220 and 99240?

Greatest common factor (GCF) of 99220 and 99240 is 20.

GCF(99220,99240) = 20

We will now calculate the prime factors of 99220 and 99240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99220 and 99240.

How to find the GCF of 99220 and 99240?

We will first find the prime factorization of 99220 and 99240. After we will calculate the factors of 99220 and 99240 and find the biggest common factor number .

Step-1: Prime Factorization of 99220

Prime factors of 99220 are 2, 5, 11, 41. Prime factorization of 99220 in exponential form is:

99220 = 2² × 5¹ × 11² × 41¹

Step-2: Prime Factorization of 99240

Prime factors of 99240 are 2, 3, 5, 827. Prime factorization of 99240 in exponential form is:

99240 = 2³ × 3¹ × 5¹ × 827¹

Step-3: Factors of 99220

List of positive integer factors of 99220 that divides 99220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 121, 164, 205, 220, 242, 410, 451, 484, 605, 820, 902, 1210, 1804, 2255, 2420, 4510, 4961, 9020, 9922, 19844, 24805, 49610

Step-4: Factors of 99240

List of positive integer factors of 99240 that divides 99220 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 827, 1654, 2481, 3308, 4135, 4962, 6616, 8270, 9924, 12405, 16540, 19848, 24810, 33080, 49620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99220 and 99240. The biggest common factor number is the GCF number.
So the greatest common factor 99220 and 99240 is 20.

Also check out the Least Common Multiple of 99220 and 99240