What is the Greatest Common Factor of 98420 and 98438?

Greatest common factor (GCF) of 98420 and 98438 is 2.

GCF(98420,98438) = 2

We will now calculate the prime factors of 98420 and 98438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98420 and 98438.

How to find the GCF of 98420 and 98438?

We will first find the prime factorization of 98420 and 98438. After we will calculate the factors of 98420 and 98438 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 98438

Prime factors of 98438 are 2, 83, 593. Prime factorization of 98438 in exponential form is:

98438 = 2¹ × 83¹ × 593¹

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 98438

List of positive integer factors of 98438 that divides 98420 without a remainder.

1, 2, 83, 166, 593, 1186, 49219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98420 and 98438. The biggest common factor number is the GCF number.
So the greatest common factor 98420 and 98438 is 2.

Also check out the Least Common Multiple of 98420 and 98438