What is the Greatest Common Factor of 98125 and 98135?

Greatest common factor (GCF) of 98125 and 98135 is 5.

GCF(98125,98135) = 5

We will now calculate the prime factors of 98125 and 98135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98125 and 98135.

How to find the GCF of 98125 and 98135?

We will first find the prime factorization of 98125 and 98135. After we will calculate the factors of 98125 and 98135 and find the biggest common factor number .

Step-1: Prime Factorization of 98125

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

98125 = 5⁴ × 157¹

Step-2: Prime Factorization of 98135

Prime factors of 98135 are 5, 19, 1033. Prime factorization of 98135 in exponential form is:

98135 = 5¹ × 19¹ × 1033¹

Step-3: Factors of 98125

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

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

Step-4: Factors of 98135

List of positive integer factors of 98135 that divides 98125 without a remainder.

1, 5, 19, 95, 1033, 5165, 19627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98125 and 98135. The biggest common factor number is the GCF number.
So the greatest common factor 98125 and 98135 is 5.

Also check out the Least Common Multiple of 98125 and 98135