What is the Greatest Common Factor of 98420 and 98439?

Greatest common factor (GCF) of 98420 and 98439 is 19.

GCF(98420,98439) = 19

We will now calculate the prime factors of 98420 and 98439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98420 and 98439.

How to find the GCF of 98420 and 98439?

We will first find the prime factorization of 98420 and 98439. After we will calculate the factors of 98420 and 98439 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 98439

Prime factors of 98439 are 3, 11, 19, 157. Prime factorization of 98439 in exponential form is:

98439 = 3¹ × 11¹ × 19¹ × 157¹

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 98439

List of positive integer factors of 98439 that divides 98420 without a remainder.

1, 3, 11, 19, 33, 57, 157, 209, 471, 627, 1727, 2983, 5181, 8949, 32813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98420 and 98439. The biggest common factor number is the GCF number.
So the greatest common factor 98420 and 98439 is 19.

Also check out the Least Common Multiple of 98420 and 98439