What is the Greatest Common Factor of 98822 and 98826?

Greatest common factor (GCF) of 98822 and 98826 is 2.

GCF(98822,98826) = 2

We will now calculate the prime factors of 98822 and 98826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98822 and 98826.

How to find the GCF of 98822 and 98826?

We will first find the prime factorization of 98822 and 98826. After we will calculate the factors of 98822 and 98826 and find the biggest common factor number .

Step-1: Prime Factorization of 98822

Prime factors of 98822 are 2, 49411. Prime factorization of 98822 in exponential form is:

98822 = 2¹ × 49411¹

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 98822

List of positive integer factors of 98822 that divides 98822 without a remainder.

1, 2, 49411

Step-4: Factors of 98826

List of positive integer factors of 98826 that divides 98822 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 98822 and 98826. The biggest common factor number is the GCF number.
So the greatest common factor 98822 and 98826 is 2.

Also check out the Least Common Multiple of 98822 and 98826