What is the Greatest Common Factor of 98792 and 98798?

Greatest common factor (GCF) of 98792 and 98798 is 2.

GCF(98792,98798) = 2

We will now calculate the prime factors of 98792 and 98798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98792 and 98798.

How to find the GCF of 98792 and 98798?

We will first find the prime factorization of 98792 and 98798. After we will calculate the factors of 98792 and 98798 and find the biggest common factor number .

Step-1: Prime Factorization of 98792

Prime factors of 98792 are 2, 53, 233. Prime factorization of 98792 in exponential form is:

98792 = 2³ × 53¹ × 233¹

Step-2: Prime Factorization of 98798

Prime factors of 98798 are 2, 7, 7057. Prime factorization of 98798 in exponential form is:

98798 = 2¹ × 7¹ × 7057¹

Step-3: Factors of 98792

List of positive integer factors of 98792 that divides 98792 without a remainder.

1, 2, 4, 8, 53, 106, 212, 233, 424, 466, 932, 1864, 12349, 24698, 49396

Step-4: Factors of 98798

List of positive integer factors of 98798 that divides 98792 without a remainder.

1, 2, 7, 14, 7057, 14114, 49399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98792 and 98798. The biggest common factor number is the GCF number.
So the greatest common factor 98792 and 98798 is 2.

Also check out the Least Common Multiple of 98792 and 98798