What is the Greatest Common Factor of 98794 and 98804?

Greatest common factor (GCF) of 98794 and 98804 is 2.

GCF(98794,98804) = 2

We will now calculate the prime factors of 98794 and 98804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98794 and 98804.

How to find the GCF of 98794 and 98804?

We will first find the prime factorization of 98794 and 98804. After we will calculate the factors of 98794 and 98804 and find the biggest common factor number .

Step-1: Prime Factorization of 98794

Prime factors of 98794 are 2, 47, 1051. Prime factorization of 98794 in exponential form is:

98794 = 2¹ × 47¹ × 1051¹

Step-2: Prime Factorization of 98804

Prime factors of 98804 are 2, 17, 1453. Prime factorization of 98804 in exponential form is:

98804 = 2² × 17¹ × 1453¹

Step-3: Factors of 98794

List of positive integer factors of 98794 that divides 98794 without a remainder.

1, 2, 47, 94, 1051, 2102, 49397

Step-4: Factors of 98804

List of positive integer factors of 98804 that divides 98794 without a remainder.

1, 2, 4, 17, 34, 68, 1453, 2906, 5812, 24701, 49402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98794 and 98804. The biggest common factor number is the GCF number.
So the greatest common factor 98794 and 98804 is 2.

Also check out the Least Common Multiple of 98794 and 98804