What is the Greatest Common Factor of 98944 and 98960?

Greatest common factor (GCF) of 98944 and 98960 is 16.

GCF(98944,98960) = 16

We will now calculate the prime factors of 98944 and 98960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98944 and 98960.

How to find the GCF of 98944 and 98960?

We will first find the prime factorization of 98944 and 98960. After we will calculate the factors of 98944 and 98960 and find the biggest common factor number .

Step-1: Prime Factorization of 98944

Prime factors of 98944 are 2, 773. Prime factorization of 98944 in exponential form is:

98944 = 2⁷ × 773¹

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 98944

List of positive integer factors of 98944 that divides 98944 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 773, 1546, 3092, 6184, 12368, 24736, 49472

Step-4: Factors of 98960

List of positive integer factors of 98960 that divides 98944 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 98944 and 98960. The biggest common factor number is the GCF number.
So the greatest common factor 98944 and 98960 is 16.

Also check out the Least Common Multiple of 98944 and 98960