What is the Greatest Common Factor of 98410 and 98423?

Greatest common factor (GCF) of 98410 and 98423 is 13.

GCF(98410,98423) = 13

We will now calculate the prime factors of 98410 and 98423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98410 and 98423.

How to find the GCF of 98410 and 98423?

We will first find the prime factorization of 98410 and 98423. After we will calculate the factors of 98410 and 98423 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98423

Prime factors of 98423 are 13, 67, 113. Prime factorization of 98423 in exponential form is:

98423 = 13¹ × 67¹ × 113¹

Step-3: Factors of 98410

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

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

Step-4: Factors of 98423

List of positive integer factors of 98423 that divides 98410 without a remainder.

1, 13, 67, 113, 871, 1469, 7571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98410 and 98423. The biggest common factor number is the GCF number.
So the greatest common factor 98410 and 98423 is 13.

Also check out the Least Common Multiple of 98410 and 98423