What is the Greatest Common Factor of 98948 and 98960?

Greatest common factor (GCF) of 98948 and 98960 is 4.

GCF(98948,98960) = 4

We will now calculate the prime factors of 98948 and 98960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98948 and 98960.

How to find the GCF of 98948 and 98960?

We will first find the prime factorization of 98948 and 98960. After we will calculate the factors of 98948 and 98960 and find the biggest common factor number .

Step-1: Prime Factorization of 98948

Prime factors of 98948 are 2, 29, 853. Prime factorization of 98948 in exponential form is:

98948 = 2² × 29¹ × 853¹

Step-2: 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-3: Factors of 98948

List of positive integer factors of 98948 that divides 98948 without a remainder.

1, 2, 4, 29, 58, 116, 853, 1706, 3412, 24737, 49474

Step-4: Factors of 98960

List of positive integer factors of 98960 that divides 98948 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98948 and 98960. The biggest common factor number is the GCF number.
So the greatest common factor 98948 and 98960 is 4.

Also check out the Least Common Multiple of 98948 and 98960