What is the Greatest Common Factor of 98427 and 98436?

Greatest common factor (GCF) of 98427 and 98436 is 3.

GCF(98427,98436) = 3

We will now calculate the prime factors of 98427 and 98436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98427 and 98436.

How to find the GCF of 98427 and 98436?

We will first find the prime factorization of 98427 and 98436. After we will calculate the factors of 98427 and 98436 and find the biggest common factor number .

Step-1: Prime Factorization of 98427

Prime factors of 98427 are 3, 7, 43, 109. Prime factorization of 98427 in exponential form is:

98427 = 3¹ × 7¹ × 43¹ × 109¹

Step-2: 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-3: Factors of 98427

List of positive integer factors of 98427 that divides 98427 without a remainder.

1, 3, 7, 21, 43, 109, 129, 301, 327, 763, 903, 2289, 4687, 14061, 32809

Step-4: Factors of 98436

List of positive integer factors of 98436 that divides 98427 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98427 and 98436. The biggest common factor number is the GCF number.
So the greatest common factor 98427 and 98436 is 3.

Also check out the Least Common Multiple of 98427 and 98436