What is the Greatest Common Factor of 98120 and 98125?

Greatest common factor (GCF) of 98120 and 98125 is 5.

GCF(98120,98125) = 5

We will now calculate the prime factors of 98120 and 98125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98120 and 98125.

How to find the GCF of 98120 and 98125?

We will first find the prime factorization of 98120 and 98125. After we will calculate the factors of 98120 and 98125 and find the biggest common factor number .

Step-1: Prime Factorization of 98120

Prime factors of 98120 are 2, 5, 11, 223. Prime factorization of 98120 in exponential form is:

98120 = 2³ × 5¹ × 11¹ × 223¹

Step-2: Prime Factorization of 98125

Prime factors of 98125 are 5, 157. Prime factorization of 98125 in exponential form is:

98125 = 5⁴ × 157¹

Step-3: Factors of 98120

List of positive integer factors of 98120 that divides 98120 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 223, 440, 446, 892, 1115, 1784, 2230, 2453, 4460, 4906, 8920, 9812, 12265, 19624, 24530, 49060

Step-4: Factors of 98125

List of positive integer factors of 98125 that divides 98120 without a remainder.

1, 5, 25, 125, 157, 625, 785, 3925, 19625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98120 and 98125. The biggest common factor number is the GCF number.
So the greatest common factor 98120 and 98125 is 5.

Also check out the Least Common Multiple of 98120 and 98125