What is the Greatest Common Factor of 98825 and 98843?

Greatest common factor (GCF) of 98825 and 98843 is 1.

GCF(98825,98843) = 1

We will now calculate the prime factors of 98825 and 98843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98825 and 98843.

How to find the GCF of 98825 and 98843?

We will first find the prime factorization of 98825 and 98843. After we will calculate the factors of 98825 and 98843 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 98843

Prime factors of 98843 are 97, 1019. Prime factorization of 98843 in exponential form is:

98843 = 97¹ × 1019¹

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 98843

List of positive integer factors of 98843 that divides 98825 without a remainder.

1, 97, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98825 and 98843. The biggest common factor number is the GCF number.
So the greatest common factor 98825 and 98843 is 1.

Also check out the Least Common Multiple of 98825 and 98843