What is the Greatest Common Factor of 98905 and 98925?

Greatest common factor (GCF) of 98905 and 98925 is 5.

GCF(98905,98925) = 5

We will now calculate the prime factors of 98905 and 98925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98905 and 98925.

How to find the GCF of 98905 and 98925?

We will first find the prime factorization of 98905 and 98925. After we will calculate the factors of 98905 and 98925 and find the biggest common factor number .

Step-1: Prime Factorization of 98905

Prime factors of 98905 are 5, 131, 151. Prime factorization of 98905 in exponential form is:

98905 = 5¹ × 131¹ × 151¹

Step-2: Prime Factorization of 98925

Prime factors of 98925 are 3, 5, 1319. Prime factorization of 98925 in exponential form is:

98925 = 3¹ × 5² × 1319¹

Step-3: Factors of 98905

List of positive integer factors of 98905 that divides 98905 without a remainder.

1, 5, 131, 151, 655, 755, 19781

Step-4: Factors of 98925

List of positive integer factors of 98925 that divides 98905 without a remainder.

1, 3, 5, 15, 25, 75, 1319, 3957, 6595, 19785, 32975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98905 and 98925. The biggest common factor number is the GCF number.
So the greatest common factor 98905 and 98925 is 5.

Also check out the Least Common Multiple of 98905 and 98925