What is the Greatest Common Factor of 98474 and 98492?

Greatest common factor (GCF) of 98474 and 98492 is 2.

GCF(98474,98492) = 2

We will now calculate the prime factors of 98474 and 98492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98474 and 98492.

How to find the GCF of 98474 and 98492?

We will first find the prime factorization of 98474 and 98492. After we will calculate the factors of 98474 and 98492 and find the biggest common factor number .

Step-1: Prime Factorization of 98474

Prime factors of 98474 are 2, 53, 929. Prime factorization of 98474 in exponential form is:

98474 = 2¹ × 53¹ × 929¹

Step-2: Prime Factorization of 98492

Prime factors of 98492 are 2, 24623. Prime factorization of 98492 in exponential form is:

98492 = 2² × 24623¹

Step-3: Factors of 98474

List of positive integer factors of 98474 that divides 98474 without a remainder.

1, 2, 53, 106, 929, 1858, 49237

Step-4: Factors of 98492

List of positive integer factors of 98492 that divides 98474 without a remainder.

1, 2, 4, 24623, 49246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98474 and 98492. The biggest common factor number is the GCF number.
So the greatest common factor 98474 and 98492 is 2.

Also check out the Least Common Multiple of 98474 and 98492