What is the Greatest Common Factor of 98978 and 98989?

Greatest common factor (GCF) of 98978 and 98989 is 11.

GCF(98978,98989) = 11

We will now calculate the prime factors of 98978 and 98989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98978 and 98989.

How to find the GCF of 98978 and 98989?

We will first find the prime factorization of 98978 and 98989. After we will calculate the factors of 98978 and 98989 and find the biggest common factor number .

Step-1: Prime Factorization of 98978

Prime factors of 98978 are 2, 11, 409. Prime factorization of 98978 in exponential form is:

98978 = 2¹ × 11² × 409¹

Step-2: Prime Factorization of 98989

Prime factors of 98989 are 11, 8999. Prime factorization of 98989 in exponential form is:

98989 = 11¹ × 8999¹

Step-3: Factors of 98978

List of positive integer factors of 98978 that divides 98978 without a remainder.

1, 2, 11, 22, 121, 242, 409, 818, 4499, 8998, 49489

Step-4: Factors of 98989

List of positive integer factors of 98989 that divides 98978 without a remainder.

1, 11, 8999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98978 and 98989. The biggest common factor number is the GCF number.
So the greatest common factor 98978 and 98989 is 11.

Also check out the Least Common Multiple of 98978 and 98989