What is the Greatest Common Factor of 98826 and 98839?

Greatest common factor (GCF) of 98826 and 98839 is 13.

GCF(98826,98839) = 13

We will now calculate the prime factors of 98826 and 98839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98826 and 98839.

How to find the GCF of 98826 and 98839?

We will first find the prime factorization of 98826 and 98839. After we will calculate the factors of 98826 and 98839 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 98839

Prime factors of 98839 are 13, 7603. Prime factorization of 98839 in exponential form is:

98839 = 13¹ × 7603¹

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 98839

List of positive integer factors of 98839 that divides 98826 without a remainder.

1, 13, 7603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98826 and 98839. The biggest common factor number is the GCF number.
So the greatest common factor 98826 and 98839 is 13.

Also check out the Least Common Multiple of 98826 and 98839