What is the Greatest Common Factor of 98960 and 98976?

Greatest common factor (GCF) of 98960 and 98976 is 16.

GCF(98960,98976) = 16

We will now calculate the prime factors of 98960 and 98976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98960 and 98976.

How to find the GCF of 98960 and 98976?

We will first find the prime factorization of 98960 and 98976. After we will calculate the factors of 98960 and 98976 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 98976

Prime factors of 98976 are 2, 3, 1031. Prime factorization of 98976 in exponential form is:

98976 = 2⁵ × 3¹ × 1031¹

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 98976

List of positive integer factors of 98976 that divides 98960 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1031, 2062, 3093, 4124, 6186, 8248, 12372, 16496, 24744, 32992, 49488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98960 and 98976. The biggest common factor number is the GCF number.
So the greatest common factor 98960 and 98976 is 16.

Also check out the Least Common Multiple of 98960 and 98976