What is the Greatest Common Factor of 98826 and 98840?

Greatest common factor (GCF) of 98826 and 98840 is 14.

GCF(98826,98840) = 14

We will now calculate the prime factors of 98826 and 98840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98826 and 98840.

How to find the GCF of 98826 and 98840?

We will first find the prime factorization of 98826 and 98840. After we will calculate the factors of 98826 and 98840 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 98840

Prime factors of 98840 are 2, 5, 7, 353. Prime factorization of 98840 in exponential form is:

98840 = 2³ × 5¹ × 7¹ × 353¹

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 98840

List of positive integer factors of 98840 that divides 98826 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 353, 706, 1412, 1765, 2471, 2824, 3530, 4942, 7060, 9884, 12355, 14120, 19768, 24710, 49420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98826 and 98840. The biggest common factor number is the GCF number.
So the greatest common factor 98826 and 98840 is 14.

Also check out the Least Common Multiple of 98826 and 98840