What is the Greatest Common Factor of 98025 and 98040?

Greatest common factor (GCF) of 98025 and 98040 is 15.

GCF(98025,98040) = 15

We will now calculate the prime factors of 98025 and 98040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98025 and 98040.

How to find the GCF of 98025 and 98040?

We will first find the prime factorization of 98025 and 98040. After we will calculate the factors of 98025 and 98040 and find the biggest common factor number .

Step-1: Prime Factorization of 98025

Prime factors of 98025 are 3, 5, 1307. Prime factorization of 98025 in exponential form is:

98025 = 3¹ × 5² × 1307¹

Step-2: 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-3: Factors of 98025

List of positive integer factors of 98025 that divides 98025 without a remainder.

1, 3, 5, 15, 25, 75, 1307, 3921, 6535, 19605, 32675

Step-4: Factors of 98040

List of positive integer factors of 98040 that divides 98025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98025 and 98040. The biggest common factor number is the GCF number.
So the greatest common factor 98025 and 98040 is 15.

Also check out the Least Common Multiple of 98025 and 98040