What is the Greatest Common Factor of 98802 and 98822?

Greatest common factor (GCF) of 98802 and 98822 is 2.

GCF(98802,98822) = 2

We will now calculate the prime factors of 98802 and 98822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98802 and 98822.

How to find the GCF of 98802 and 98822?

We will first find the prime factorization of 98802 and 98822. After we will calculate the factors of 98802 and 98822 and find the biggest common factor number .

Step-1: Prime Factorization of 98802

Prime factors of 98802 are 2, 3, 11, 499. Prime factorization of 98802 in exponential form is:

98802 = 2¹ × 3² × 11¹ × 499¹

Step-2: Prime Factorization of 98822

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

98822 = 2¹ × 49411¹

Step-3: Factors of 98802

List of positive integer factors of 98802 that divides 98802 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 499, 998, 1497, 2994, 4491, 5489, 8982, 10978, 16467, 32934, 49401

Step-4: Factors of 98822

List of positive integer factors of 98822 that divides 98802 without a remainder.

1, 2, 49411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98802 and 98822. The biggest common factor number is the GCF number.
So the greatest common factor 98802 and 98822 is 2.

Also check out the Least Common Multiple of 98802 and 98822