What is the Greatest Common Factor of 98025 and 98035?

Greatest common factor (GCF) of 98025 and 98035 is 5.

GCF(98025,98035) = 5

We will now calculate the prime factors of 98025 and 98035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98025 and 98035.

How to find the GCF of 98025 and 98035?

We will first find the prime factorization of 98025 and 98035. After we will calculate the factors of 98025 and 98035 and find the biggest common factor number .

Step-1: Prime Factorization of 98025

Prime factors of 98025 are 3, 5, 1307. Prime factorization of 98025 in exponential form is:

98025 = 3¹ × 5² × 1307¹

Step-2: Prime Factorization of 98035

Prime factors of 98035 are 5, 7, 2801. Prime factorization of 98035 in exponential form is:

98035 = 5¹ × 7¹ × 2801¹

Step-3: Factors of 98025

List of positive integer factors of 98025 that divides 98025 without a remainder.

1, 3, 5, 15, 25, 75, 1307, 3921, 6535, 19605, 32675

Step-4: Factors of 98035

List of positive integer factors of 98035 that divides 98025 without a remainder.

1, 5, 7, 35, 2801, 14005, 19607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98025 and 98035. The biggest common factor number is the GCF number.
So the greatest common factor 98025 and 98035 is 5.

Also check out the Least Common Multiple of 98025 and 98035