What is the Greatest Common Factor of 98766 and 98782?

Greatest common factor (GCF) of 98766 and 98782 is 2.

GCF(98766,98782) = 2

We will now calculate the prime factors of 98766 and 98782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98766 and 98782.

How to find the GCF of 98766 and 98782?

We will first find the prime factorization of 98766 and 98782. After we will calculate the factors of 98766 and 98782 and find the biggest common factor number .

Step-1: Prime Factorization of 98766

Prime factors of 98766 are 2, 3, 31, 59. Prime factorization of 98766 in exponential form is:

98766 = 2¹ × 3³ × 31¹ × 59¹

Step-2: Prime Factorization of 98782

Prime factors of 98782 are 2, 49391. Prime factorization of 98782 in exponential form is:

98782 = 2¹ × 49391¹

Step-3: Factors of 98766

List of positive integer factors of 98766 that divides 98766 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 59, 62, 93, 118, 177, 186, 279, 354, 531, 558, 837, 1062, 1593, 1674, 1829, 3186, 3658, 5487, 10974, 16461, 32922, 49383

Step-4: Factors of 98782

List of positive integer factors of 98782 that divides 98766 without a remainder.

1, 2, 49391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98766 and 98782. The biggest common factor number is the GCF number.
So the greatest common factor 98766 and 98782 is 2.

Also check out the Least Common Multiple of 98766 and 98782