What is the Greatest Common Factor of 98845 and 98860?

Greatest common factor (GCF) of 98845 and 98860 is 5.

GCF(98845,98860) = 5

We will now calculate the prime factors of 98845 and 98860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98845 and 98860.

How to find the GCF of 98845 and 98860?

We will first find the prime factorization of 98845 and 98860. After we will calculate the factors of 98845 and 98860 and find the biggest common factor number .

Step-1: Prime Factorization of 98845

Prime factors of 98845 are 5, 53, 373. Prime factorization of 98845 in exponential form is:

98845 = 5¹ × 53¹ × 373¹

Step-2: Prime Factorization of 98860

Prime factors of 98860 are 2, 5, 4943. Prime factorization of 98860 in exponential form is:

98860 = 2² × 5¹ × 4943¹

Step-3: Factors of 98845

List of positive integer factors of 98845 that divides 98845 without a remainder.

1, 5, 53, 265, 373, 1865, 19769

Step-4: Factors of 98860

List of positive integer factors of 98860 that divides 98845 without a remainder.

1, 2, 4, 5, 10, 20, 4943, 9886, 19772, 24715, 49430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98845 and 98860. The biggest common factor number is the GCF number.
So the greatest common factor 98845 and 98860 is 5.

Also check out the Least Common Multiple of 98845 and 98860