What is the Greatest Common Factor of 98040 and 98060?

Greatest common factor (GCF) of 98040 and 98060 is 20.

GCF(98040,98060) = 20

We will now calculate the prime factors of 98040 and 98060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98040 and 98060.

How to find the GCF of 98040 and 98060?

We will first find the prime factorization of 98040 and 98060. After we will calculate the factors of 98040 and 98060 and find the biggest common factor number .

Step-1: Prime Factorization of 98040

Prime factors of 98040 are 2, 3, 5, 19, 43. Prime factorization of 98040 in exponential form is:

98040 = 2³ × 3¹ × 5¹ × 19¹ × 43¹

Step-2: Prime Factorization of 98060

Prime factors of 98060 are 2, 5, 4903. Prime factorization of 98060 in exponential form is:

98060 = 2² × 5¹ × 4903¹

Step-3: Factors of 98040

List of positive integer factors of 98040 that divides 98040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 43, 57, 60, 76, 86, 95, 114, 120, 129, 152, 172, 190, 215, 228, 258, 285, 344, 380, 430, 456, 516, 570, 645, 760, 817, 860, 1032, 1140, 1290, 1634, 1720, 2280, 2451, 2580, 3268, 4085, 4902, 5160, 6536, 8170, 9804, 12255, 16340, 19608, 24510, 32680, 49020

Step-4: Factors of 98060

List of positive integer factors of 98060 that divides 98040 without a remainder.

1, 2, 4, 5, 10, 20, 4903, 9806, 19612, 24515, 49030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98040 and 98060. The biggest common factor number is the GCF number.
So the greatest common factor 98040 and 98060 is 20.

Also check out the Least Common Multiple of 98040 and 98060