What is the Greatest Common Factor of 98720 and 98728?

Greatest common factor (GCF) of 98720 and 98728 is 8.

GCF(98720,98728) = 8

We will now calculate the prime factors of 98720 and 98728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98720 and 98728.

How to find the GCF of 98720 and 98728?

We will first find the prime factorization of 98720 and 98728. After we will calculate the factors of 98720 and 98728 and find the biggest common factor number .

Step-1: Prime Factorization of 98720

Prime factors of 98720 are 2, 5, 617. Prime factorization of 98720 in exponential form is:

98720 = 2⁵ × 5¹ × 617¹

Step-2: Prime Factorization of 98728

Prime factors of 98728 are 2, 7, 41, 43. Prime factorization of 98728 in exponential form is:

98728 = 2³ × 7¹ × 41¹ × 43¹

Step-3: Factors of 98720

List of positive integer factors of 98720 that divides 98720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 617, 1234, 2468, 3085, 4936, 6170, 9872, 12340, 19744, 24680, 49360

Step-4: Factors of 98728

List of positive integer factors of 98728 that divides 98720 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 43, 56, 82, 86, 164, 172, 287, 301, 328, 344, 574, 602, 1148, 1204, 1763, 2296, 2408, 3526, 7052, 12341, 14104, 24682, 49364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98720 and 98728. The biggest common factor number is the GCF number.
So the greatest common factor 98720 and 98728 is 8.

Also check out the Least Common Multiple of 98720 and 98728