What is the Greatest Common Factor of 98816 and 98825?

Greatest common factor (GCF) of 98816 and 98825 is 1.

GCF(98816,98825) = 1

We will now calculate the prime factors of 98816 and 98825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98816 and 98825.

How to find the GCF of 98816 and 98825?

We will first find the prime factorization of 98816 and 98825. After we will calculate the factors of 98816 and 98825 and find the biggest common factor number .

Step-1: Prime Factorization of 98816

Prime factors of 98816 are 2, 193. Prime factorization of 98816 in exponential form is:

98816 = 2⁹ × 193¹

Step-2: 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-3: Factors of 98816

List of positive integer factors of 98816 that divides 98816 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 193, 256, 386, 512, 772, 1544, 3088, 6176, 12352, 24704, 49408

Step-4: Factors of 98825

List of positive integer factors of 98825 that divides 98816 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98816 and 98825. The biggest common factor number is the GCF number.
So the greatest common factor 98816 and 98825 is 1.

Also check out the Least Common Multiple of 98816 and 98825