What is the Greatest Common Factor of 98822 and 98842?

Greatest common factor (GCF) of 98822 and 98842 is 2.

GCF(98822,98842) = 2

We will now calculate the prime factors of 98822 and 98842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98822 and 98842.

How to find the GCF of 98822 and 98842?

We will first find the prime factorization of 98822 and 98842. After we will calculate the factors of 98822 and 98842 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 98842

Prime factors of 98842 are 2, 73, 677. Prime factorization of 98842 in exponential form is:

98842 = 2¹ × 73¹ × 677¹

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 98842

List of positive integer factors of 98842 that divides 98822 without a remainder.

1, 2, 73, 146, 677, 1354, 49421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98822 and 98842. The biggest common factor number is the GCF number.
So the greatest common factor 98822 and 98842 is 2.

Also check out the Least Common Multiple of 98822 and 98842