What is the Greatest Common Factor of 98826 and 98836?

Greatest common factor (GCF) of 98826 and 98836 is 2.

GCF(98826,98836) = 2

We will now calculate the prime factors of 98826 and 98836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98826 and 98836.

How to find the GCF of 98826 and 98836?

We will first find the prime factorization of 98826 and 98836. After we will calculate the factors of 98826 and 98836 and find the biggest common factor number .

Step-1: Prime Factorization of 98826

Prime factors of 98826 are 2, 3, 7, 13, 181. Prime factorization of 98826 in exponential form is:

98826 = 2¹ × 3¹ × 7¹ × 13¹ × 181¹

Step-2: Prime Factorization of 98836

Prime factors of 98836 are 2, 24709. Prime factorization of 98836 in exponential form is:

98836 = 2² × 24709¹

Step-3: Factors of 98826

List of positive integer factors of 98826 that divides 98826 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 181, 182, 273, 362, 543, 546, 1086, 1267, 2353, 2534, 3801, 4706, 7059, 7602, 14118, 16471, 32942, 49413

Step-4: Factors of 98836

List of positive integer factors of 98836 that divides 98826 without a remainder.

1, 2, 4, 24709, 49418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98826 and 98836. The biggest common factor number is the GCF number.
So the greatest common factor 98826 and 98836 is 2.

Also check out the Least Common Multiple of 98826 and 98836