What is the Greatest Common Factor of 98400 and 98420?

Greatest common factor (GCF) of 98400 and 98420 is 20.

GCF(98400,98420) = 20

We will now calculate the prime factors of 98400 and 98420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98400 and 98420.

How to find the GCF of 98400 and 98420?

We will first find the prime factorization of 98400 and 98420. After we will calculate the factors of 98400 and 98420 and find the biggest common factor number .

Step-1: Prime Factorization of 98400

Prime factors of 98400 are 2, 3, 5, 41. Prime factorization of 98400 in exponential form is:

98400 = 2⁵ × 3¹ × 5² × 41¹

Step-2: Prime Factorization of 98420

Prime factors of 98420 are 2, 5, 7, 19, 37. Prime factorization of 98420 in exponential form is:

98420 = 2² × 5¹ × 7¹ × 19¹ × 37¹

Step-3: Factors of 98400

List of positive integer factors of 98400 that divides 98400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 41, 48, 50, 60, 75, 80, 82, 96, 100, 120, 123, 150, 160, 164, 200, 205, 240, 246, 300, 328, 400, 410, 480, 492, 600, 615, 656, 800, 820, 984, 1025, 1200, 1230, 1312, 1640, 1968, 2050, 2400, 2460, 3075, 3280, 3936, 4100, 4920, 6150, 6560, 8200, 9840, 12300, 16400, 19680, 24600, 32800, 49200

Step-4: Factors of 98420

List of positive integer factors of 98420 that divides 98400 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 37, 38, 70, 74, 76, 95, 133, 140, 148, 185, 190, 259, 266, 370, 380, 518, 532, 665, 703, 740, 1036, 1295, 1330, 1406, 2590, 2660, 2812, 3515, 4921, 5180, 7030, 9842, 14060, 19684, 24605, 49210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98400 and 98420. The biggest common factor number is the GCF number.
So the greatest common factor 98400 and 98420 is 20.

Also check out the Least Common Multiple of 98400 and 98420