What is the Greatest Common Factor of 98825 and 98835?

Greatest common factor (GCF) of 98825 and 98835 is 5.

GCF(98825,98835) = 5

We will now calculate the prime factors of 98825 and 98835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98825 and 98835.

How to find the GCF of 98825 and 98835?

We will first find the prime factorization of 98825 and 98835. After we will calculate the factors of 98825 and 98835 and find the biggest common factor number .

Step-1: Prime Factorization of 98825

Prime factors of 98825 are 5, 59, 67. Prime factorization of 98825 in exponential form is:

98825 = 5² × 59¹ × 67¹

Step-2: Prime Factorization of 98835

Prime factors of 98835 are 3, 5, 11, 599. Prime factorization of 98835 in exponential form is:

98835 = 3¹ × 5¹ × 11¹ × 599¹

Step-3: Factors of 98825

List of positive integer factors of 98825 that divides 98825 without a remainder.

1, 5, 25, 59, 67, 295, 335, 1475, 1675, 3953, 19765

Step-4: Factors of 98835

List of positive integer factors of 98835 that divides 98825 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 599, 1797, 2995, 6589, 8985, 19767, 32945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98825 and 98835. The biggest common factor number is the GCF number.
So the greatest common factor 98825 and 98835 is 5.

Also check out the Least Common Multiple of 98825 and 98835