What is the Greatest Common Factor of 98960 and 98975?

Greatest common factor (GCF) of 98960 and 98975 is 5.

GCF(98960,98975) = 5

We will now calculate the prime factors of 98960 and 98975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98960 and 98975.

How to find the GCF of 98960 and 98975?

We will first find the prime factorization of 98960 and 98975. After we will calculate the factors of 98960 and 98975 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 98975

Prime factors of 98975 are 5, 37, 107. Prime factorization of 98975 in exponential form is:

98975 = 5² × 37¹ × 107¹

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 98975

List of positive integer factors of 98975 that divides 98960 without a remainder.

1, 5, 25, 37, 107, 185, 535, 925, 2675, 3959, 19795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98960 and 98975. The biggest common factor number is the GCF number.
So the greatest common factor 98960 and 98975 is 5.

Also check out the Least Common Multiple of 98960 and 98975