What is the Greatest Common Factor of 98504 and 98519?

Greatest common factor (GCF) of 98504 and 98519 is 1.

GCF(98504,98519) = 1

We will now calculate the prime factors of 98504 and 98519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98504 and 98519.

How to find the GCF of 98504 and 98519?

We will first find the prime factorization of 98504 and 98519. After we will calculate the factors of 98504 and 98519 and find the biggest common factor number .

Step-1: Prime Factorization of 98504

Prime factors of 98504 are 2, 7, 1759. Prime factorization of 98504 in exponential form is:

98504 = 2³ × 7¹ × 1759¹

Step-2: Prime Factorization of 98519

Prime factors of 98519 are 98519. Prime factorization of 98519 in exponential form is:

98519 = 98519¹

Step-3: Factors of 98504

List of positive integer factors of 98504 that divides 98504 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1759, 3518, 7036, 12313, 14072, 24626, 49252

Step-4: Factors of 98519

List of positive integer factors of 98519 that divides 98504 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98504 and 98519. The biggest common factor number is the GCF number.
So the greatest common factor 98504 and 98519 is 1.

Also check out the Least Common Multiple of 98504 and 98519