What is the Greatest Common Factor of 98436 and 98445?

Greatest common factor (GCF) of 98436 and 98445 is 3.

GCF(98436,98445) = 3

We will now calculate the prime factors of 98436 and 98445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98436 and 98445.

How to find the GCF of 98436 and 98445?

We will first find the prime factorization of 98436 and 98445. After we will calculate the factors of 98436 and 98445 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 98445

Prime factors of 98445 are 3, 5, 6563. Prime factorization of 98445 in exponential form is:

98445 = 3¹ × 5¹ × 6563¹

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 98445

List of positive integer factors of 98445 that divides 98436 without a remainder.

1, 3, 5, 15, 6563, 19689, 32815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98436 and 98445. The biggest common factor number is the GCF number.
So the greatest common factor 98436 and 98445 is 3.

Also check out the Least Common Multiple of 98436 and 98445