What is the Greatest Common Factor of 98718 and 98732?

Greatest common factor (GCF) of 98718 and 98732 is 2.

GCF(98718,98732) = 2

We will now calculate the prime factors of 98718 and 98732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98718 and 98732.

How to find the GCF of 98718 and 98732?

We will first find the prime factorization of 98718 and 98732. After we will calculate the factors of 98718 and 98732 and find the biggest common factor number .

Step-1: Prime Factorization of 98718

Prime factors of 98718 are 2, 3, 16453. Prime factorization of 98718 in exponential form is:

98718 = 2¹ × 3¹ × 16453¹

Step-2: Prime Factorization of 98732

Prime factors of 98732 are 2, 24683. Prime factorization of 98732 in exponential form is:

98732 = 2² × 24683¹

Step-3: Factors of 98718

List of positive integer factors of 98718 that divides 98718 without a remainder.

1, 2, 3, 6, 16453, 32906, 49359

Step-4: Factors of 98732

List of positive integer factors of 98732 that divides 98718 without a remainder.

1, 2, 4, 24683, 49366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98718 and 98732. The biggest common factor number is the GCF number.
So the greatest common factor 98718 and 98732 is 2.

Also check out the Least Common Multiple of 98718 and 98732