What is the Greatest Common Factor of 99230 and 99240?

Greatest common factor (GCF) of 99230 and 99240 is 10.

GCF(99230,99240) = 10

We will now calculate the prime factors of 99230 and 99240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99230 and 99240.

How to find the GCF of 99230 and 99240?

We will first find the prime factorization of 99230 and 99240. After we will calculate the factors of 99230 and 99240 and find the biggest common factor number .

Step-1: Prime Factorization of 99230

Prime factors of 99230 are 2, 5, 9923. Prime factorization of 99230 in exponential form is:

99230 = 2¹ × 5¹ × 9923¹

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 99230

List of positive integer factors of 99230 that divides 99230 without a remainder.

1, 2, 5, 10, 9923, 19846, 49615

Step-4: Factors of 99240

List of positive integer factors of 99240 that divides 99230 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 99230 and 99240. The biggest common factor number is the GCF number.
So the greatest common factor 99230 and 99240 is 10.

Also check out the Least Common Multiple of 99230 and 99240