What is the Greatest Common Factor of 98960 and 98977?

Greatest common factor (GCF) of 98960 and 98977 is 1.

GCF(98960,98977) = 1

We will now calculate the prime factors of 98960 and 98977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98960 and 98977.

How to find the GCF of 98960 and 98977?

We will first find the prime factorization of 98960 and 98977. After we will calculate the factors of 98960 and 98977 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 98977

Prime factors of 98977 are 29, 3413. Prime factorization of 98977 in exponential form is:

98977 = 29¹ × 3413¹

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 98977

List of positive integer factors of 98977 that divides 98960 without a remainder.

1, 29, 3413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98960 and 98977. The biggest common factor number is the GCF number.
So the greatest common factor 98960 and 98977 is 1.

Also check out the Least Common Multiple of 98960 and 98977