What is the Greatest Common Factor of 98436 and 98449?

Greatest common factor (GCF) of 98436 and 98449 is 13.

GCF(98436,98449) = 13

We will now calculate the prime factors of 98436 and 98449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98436 and 98449.

How to find the GCF of 98436 and 98449?

We will first find the prime factorization of 98436 and 98449. After we will calculate the factors of 98436 and 98449 and find the biggest common factor number .

Step-1: Prime Factorization of 98436

Prime factors of 98436 are 2, 3, 13, 631. Prime factorization of 98436 in exponential form is:

98436 = 2² × 3¹ × 13¹ × 631¹

Step-2: Prime Factorization of 98449

Prime factors of 98449 are 13, 7573. Prime factorization of 98449 in exponential form is:

98449 = 13¹ × 7573¹

Step-3: Factors of 98436

List of positive integer factors of 98436 that divides 98436 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 631, 1262, 1893, 2524, 3786, 7572, 8203, 16406, 24609, 32812, 49218

Step-4: Factors of 98449

List of positive integer factors of 98449 that divides 98436 without a remainder.

1, 13, 7573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98436 and 98449. The biggest common factor number is the GCF number.
So the greatest common factor 98436 and 98449 is 13.

Also check out the Least Common Multiple of 98436 and 98449