What is the Greatest Common Factor of 98464 and 98474?

Greatest common factor (GCF) of 98464 and 98474 is 2.

GCF(98464,98474) = 2

We will now calculate the prime factors of 98464 and 98474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98464 and 98474.

How to find the GCF of 98464 and 98474?

We will first find the prime factorization of 98464 and 98474. After we will calculate the factors of 98464 and 98474 and find the biggest common factor number .

Step-1: Prime Factorization of 98464

Prime factors of 98464 are 2, 17, 181. Prime factorization of 98464 in exponential form is:

98464 = 2⁵ × 17¹ × 181¹

Step-2: 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-3: Factors of 98464

List of positive integer factors of 98464 that divides 98464 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 181, 272, 362, 544, 724, 1448, 2896, 3077, 5792, 6154, 12308, 24616, 49232

Step-4: Factors of 98474

List of positive integer factors of 98474 that divides 98464 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98464 and 98474. The biggest common factor number is the GCF number.
So the greatest common factor 98464 and 98474 is 2.

Also check out the Least Common Multiple of 98464 and 98474