What is the Greatest Common Factor of 98495 and 98500?

Greatest common factor (GCF) of 98495 and 98500 is 5.

GCF(98495,98500) = 5

We will now calculate the prime factors of 98495 and 98500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98495 and 98500.

How to find the GCF of 98495 and 98500?

We will first find the prime factorization of 98495 and 98500. After we will calculate the factors of 98495 and 98500 and find the biggest common factor number .

Step-1: Prime Factorization of 98495

Prime factors of 98495 are 5, 19699. Prime factorization of 98495 in exponential form is:

98495 = 5¹ × 19699¹

Step-2: Prime Factorization of 98500

Prime factors of 98500 are 2, 5, 197. Prime factorization of 98500 in exponential form is:

98500 = 2² × 5³ × 197¹

Step-3: Factors of 98495

List of positive integer factors of 98495 that divides 98495 without a remainder.

1, 5, 19699

Step-4: Factors of 98500

List of positive integer factors of 98500 that divides 98495 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 197, 250, 394, 500, 788, 985, 1970, 3940, 4925, 9850, 19700, 24625, 49250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98495 and 98500. The biggest common factor number is the GCF number.
So the greatest common factor 98495 and 98500 is 5.

Also check out the Least Common Multiple of 98495 and 98500