What is the Greatest Common Factor of 99782 and 99802?

Greatest common factor (GCF) of 99782 and 99802 is 2.

GCF(99782,99802) = 2

We will now calculate the prime factors of 99782 and 99802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99782 and 99802.

How to find the GCF of 99782 and 99802?

We will first find the prime factorization of 99782 and 99802. After we will calculate the factors of 99782 and 99802 and find the biggest common factor number .

Step-1: Prime Factorization of 99782

Prime factors of 99782 are 2, 49891. Prime factorization of 99782 in exponential form is:

99782 = 2¹ × 49891¹

Step-2: Prime Factorization of 99802

Prime factors of 99802 are 2, 139, 359. Prime factorization of 99802 in exponential form is:

99802 = 2¹ × 139¹ × 359¹

Step-3: Factors of 99782

List of positive integer factors of 99782 that divides 99782 without a remainder.

1, 2, 49891

Step-4: Factors of 99802

List of positive integer factors of 99802 that divides 99782 without a remainder.

1, 2, 139, 278, 359, 718, 49901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99782 and 99802. The biggest common factor number is the GCF number.
So the greatest common factor 99782 and 99802 is 2.

Also check out the Least Common Multiple of 99782 and 99802