What is the Greatest Common Factor of 98420 and 98428?

Greatest common factor (GCF) of 98420 and 98428 is 4.

GCF(98420,98428) = 4

We will now calculate the prime factors of 98420 and 98428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98420 and 98428.

How to find the GCF of 98420 and 98428?

We will first find the prime factorization of 98420 and 98428. After we will calculate the factors of 98420 and 98428 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98428

Prime factors of 98428 are 2, 11, 2237. Prime factorization of 98428 in exponential form is:

98428 = 2² × 11¹ × 2237¹

Step-3: Factors of 98420

List of positive integer factors of 98420 that divides 98420 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

Step-4: Factors of 98428

List of positive integer factors of 98428 that divides 98420 without a remainder.

1, 2, 4, 11, 22, 44, 2237, 4474, 8948, 24607, 49214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98420 and 98428. The biggest common factor number is the GCF number.
So the greatest common factor 98420 and 98428 is 4.

Also check out the Least Common Multiple of 98420 and 98428