What is the Greatest Common Factor of 98040 and 98049?

Greatest common factor (GCF) of 98040 and 98049 is 3.

GCF(98040,98049) = 3

We will now calculate the prime factors of 98040 and 98049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98040 and 98049.

How to find the GCF of 98040 and 98049?

We will first find the prime factorization of 98040 and 98049. After we will calculate the factors of 98040 and 98049 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 98049

Prime factors of 98049 are 3, 7, 23, 29. Prime factorization of 98049 in exponential form is:

98049 = 3¹ × 7² × 23¹ × 29¹

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 98049

List of positive integer factors of 98049 that divides 98040 without a remainder.

1, 3, 7, 21, 23, 29, 49, 69, 87, 147, 161, 203, 483, 609, 667, 1127, 1421, 2001, 3381, 4263, 4669, 14007, 32683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98040 and 98049. The biggest common factor number is the GCF number.
So the greatest common factor 98040 and 98049 is 3.

Also check out the Least Common Multiple of 98040 and 98049