What is the Greatest Common Factor of 98816 and 98826?

Greatest common factor (GCF) of 98816 and 98826 is 2.

GCF(98816,98826) = 2

We will now calculate the prime factors of 98816 and 98826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98816 and 98826.

How to find the GCF of 98816 and 98826?

We will first find the prime factorization of 98816 and 98826. After we will calculate the factors of 98816 and 98826 and find the biggest common factor number .

Step-1: Prime Factorization of 98816

Prime factors of 98816 are 2, 193. Prime factorization of 98816 in exponential form is:

98816 = 2⁹ × 193¹

Step-2: 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-3: Factors of 98816

List of positive integer factors of 98816 that divides 98816 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 193, 256, 386, 512, 772, 1544, 3088, 6176, 12352, 24704, 49408

Step-4: Factors of 98826

List of positive integer factors of 98826 that divides 98816 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98816 and 98826. The biggest common factor number is the GCF number.
So the greatest common factor 98816 and 98826 is 2.

Also check out the Least Common Multiple of 98816 and 98826