What is the Greatest Common Factor of 98021 and 98040?

Greatest common factor (GCF) of 98021 and 98040 is 19.

GCF(98021,98040) = 19

We will now calculate the prime factors of 98021 and 98040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98021 and 98040.

How to find the GCF of 98021 and 98040?

We will first find the prime factorization of 98021 and 98040. After we will calculate the factors of 98021 and 98040 and find the biggest common factor number .

Step-1: Prime Factorization of 98021

Prime factors of 98021 are 7, 11, 19, 67. Prime factorization of 98021 in exponential form is:

98021 = 7¹ × 11¹ × 19¹ × 67¹

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 98021

List of positive integer factors of 98021 that divides 98021 without a remainder.

1, 7, 11, 19, 67, 77, 133, 209, 469, 737, 1273, 1463, 5159, 8911, 14003

Step-4: Factors of 98040

List of positive integer factors of 98040 that divides 98021 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 98021 and 98040. The biggest common factor number is the GCF number.
So the greatest common factor 98021 and 98040 is 19.

Also check out the Least Common Multiple of 98021 and 98040