What is the Greatest Common Factor of 98978 and 98994?

Greatest common factor (GCF) of 98978 and 98994 is 2.

GCF(98978,98994) = 2

We will now calculate the prime factors of 98978 and 98994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98978 and 98994.

How to find the GCF of 98978 and 98994?

We will first find the prime factorization of 98978 and 98994. After we will calculate the factors of 98978 and 98994 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 98994

Prime factors of 98994 are 2, 3, 7, 2357. Prime factorization of 98994 in exponential form is:

98994 = 2¹ × 3¹ × 7¹ × 2357¹

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 98994

List of positive integer factors of 98994 that divides 98978 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2357, 4714, 7071, 14142, 16499, 32998, 49497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98978 and 98994. The biggest common factor number is the GCF number.
So the greatest common factor 98978 and 98994 is 2.

Also check out the Least Common Multiple of 98978 and 98994