What is the Greatest Common Factor of 98436 and 98440?

Greatest common factor (GCF) of 98436 and 98440 is 4.

GCF(98436,98440) = 4

We will now calculate the prime factors of 98436 and 98440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98436 and 98440.

How to find the GCF of 98436 and 98440?

We will first find the prime factorization of 98436 and 98440. After we will calculate the factors of 98436 and 98440 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 98440

Prime factors of 98440 are 2, 5, 23, 107. Prime factorization of 98440 in exponential form is:

98440 = 2³ × 5¹ × 23¹ × 107¹

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 98440

List of positive integer factors of 98440 that divides 98436 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 107, 115, 184, 214, 230, 428, 460, 535, 856, 920, 1070, 2140, 2461, 4280, 4922, 9844, 12305, 19688, 24610, 49220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98436 and 98440. The biggest common factor number is the GCF number.
So the greatest common factor 98436 and 98440 is 4.

Also check out the Least Common Multiple of 98436 and 98440