What is the Greatest Common Factor of 98968 and 98974?

Greatest common factor (GCF) of 98968 and 98974 is 2.

GCF(98968,98974) = 2

We will now calculate the prime factors of 98968 and 98974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98968 and 98974.

How to find the GCF of 98968 and 98974?

We will first find the prime factorization of 98968 and 98974. After we will calculate the factors of 98968 and 98974 and find the biggest common factor number .

Step-1: Prime Factorization of 98968

Prime factors of 98968 are 2, 89, 139. Prime factorization of 98968 in exponential form is:

98968 = 2³ × 89¹ × 139¹

Step-2: Prime Factorization of 98974

Prime factors of 98974 are 2, 17, 41, 71. Prime factorization of 98974 in exponential form is:

98974 = 2¹ × 17¹ × 41¹ × 71¹

Step-3: Factors of 98968

List of positive integer factors of 98968 that divides 98968 without a remainder.

1, 2, 4, 8, 89, 139, 178, 278, 356, 556, 712, 1112, 12371, 24742, 49484

Step-4: Factors of 98974

List of positive integer factors of 98974 that divides 98968 without a remainder.

1, 2, 17, 34, 41, 71, 82, 142, 697, 1207, 1394, 2414, 2911, 5822, 49487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98968 and 98974. The biggest common factor number is the GCF number.
So the greatest common factor 98968 and 98974 is 2.

Also check out the Least Common Multiple of 98968 and 98974