What is the Greatest Common Factor of 98025 and 98045?

Greatest common factor (GCF) of 98025 and 98045 is 5.

GCF(98025,98045) = 5

We will now calculate the prime factors of 98025 and 98045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98025 and 98045.

How to find the GCF of 98025 and 98045?

We will first find the prime factorization of 98025 and 98045. After we will calculate the factors of 98025 and 98045 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 98045

Prime factors of 98045 are 5, 19609. Prime factorization of 98045 in exponential form is:

98045 = 5¹ × 19609¹

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 98045

List of positive integer factors of 98045 that divides 98025 without a remainder.

1, 5, 19609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98025 and 98045. The biggest common factor number is the GCF number.
So the greatest common factor 98025 and 98045 is 5.

Also check out the Least Common Multiple of 98025 and 98045