What is the Greatest Common Factor of 87490 and 87498?

Greatest common factor (GCF) of 87490 and 87498 is 2.

GCF(87490,87498) = 2

We will now calculate the prime factors of 87490 and 87498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87490 and 87498.

How to find the GCF of 87490 and 87498?

We will first find the prime factorization of 87490 and 87498. After we will calculate the factors of 87490 and 87498 and find the biggest common factor number .

Step-1: Prime Factorization of 87490

Prime factors of 87490 are 2, 5, 13, 673. Prime factorization of 87490 in exponential form is:

87490 = 2¹ × 5¹ × 13¹ × 673¹

Step-2: Prime Factorization of 87498

Prime factors of 87498 are 2, 3, 4861. Prime factorization of 87498 in exponential form is:

87498 = 2¹ × 3² × 4861¹

Step-3: Factors of 87490

List of positive integer factors of 87490 that divides 87490 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 673, 1346, 3365, 6730, 8749, 17498, 43745

Step-4: Factors of 87498

List of positive integer factors of 87498 that divides 87490 without a remainder.

1, 2, 3, 6, 9, 18, 4861, 9722, 14583, 29166, 43749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87490 and 87498. The biggest common factor number is the GCF number.
So the greatest common factor 87490 and 87498 is 2.

Also check out the Least Common Multiple of 87490 and 87498