What is the Greatest Common Factor of 98394 and 98410?

Greatest common factor (GCF) of 98394 and 98410 is 2.

GCF(98394,98410) = 2

We will now calculate the prime factors of 98394 and 98410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98394 and 98410.

How to find the GCF of 98394 and 98410?

We will first find the prime factorization of 98394 and 98410. After we will calculate the factors of 98394 and 98410 and find the biggest common factor number .

Step-1: Prime Factorization of 98394

Prime factors of 98394 are 2, 3, 23, 31. Prime factorization of 98394 in exponential form is:

98394 = 2¹ × 3¹ × 23² × 31¹

Step-2: Prime Factorization of 98410

Prime factors of 98410 are 2, 5, 13, 757. Prime factorization of 98410 in exponential form is:

98410 = 2¹ × 5¹ × 13¹ × 757¹

Step-3: Factors of 98394

List of positive integer factors of 98394 that divides 98394 without a remainder.

1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 529, 713, 1058, 1426, 1587, 2139, 3174, 4278, 16399, 32798, 49197

Step-4: Factors of 98410

List of positive integer factors of 98410 that divides 98394 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 757, 1514, 3785, 7570, 9841, 19682, 49205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98394 and 98410. The biggest common factor number is the GCF number.
So the greatest common factor 98394 and 98410 is 2.

Also check out the Least Common Multiple of 98394 and 98410