What is the Greatest Common Factor of 98960 and 98968?

Greatest common factor (GCF) of 98960 and 98968 is 8.

GCF(98960,98968) = 8

We will now calculate the prime factors of 98960 and 98968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98960 and 98968.

How to find the GCF of 98960 and 98968?

We will first find the prime factorization of 98960 and 98968. After we will calculate the factors of 98960 and 98968 and find the biggest common factor number .

Step-1: Prime Factorization of 98960

Prime factors of 98960 are 2, 5, 1237. Prime factorization of 98960 in exponential form is:

98960 = 2⁴ × 5¹ × 1237¹

Step-2: 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-3: Factors of 98960

List of positive integer factors of 98960 that divides 98960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1237, 2474, 4948, 6185, 9896, 12370, 19792, 24740, 49480

Step-4: Factors of 98968

List of positive integer factors of 98968 that divides 98960 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98960 and 98968. The biggest common factor number is the GCF number.
So the greatest common factor 98960 and 98968 is 8.

Also check out the Least Common Multiple of 98960 and 98968