What is the Greatest Common Factor of 98757 and 98766?

Greatest common factor (GCF) of 98757 and 98766 is 9.

GCF(98757,98766) = 9

We will now calculate the prime factors of 98757 and 98766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98757 and 98766.

How to find the GCF of 98757 and 98766?

We will first find the prime factorization of 98757 and 98766. After we will calculate the factors of 98757 and 98766 and find the biggest common factor number .

Step-1: Prime Factorization of 98757

Prime factors of 98757 are 3, 10973. Prime factorization of 98757 in exponential form is:

98757 = 3² × 10973¹

Step-2: 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-3: Factors of 98757

List of positive integer factors of 98757 that divides 98757 without a remainder.

1, 3, 9, 10973, 32919

Step-4: Factors of 98766

List of positive integer factors of 98766 that divides 98757 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98757 and 98766. The biggest common factor number is the GCF number.
So the greatest common factor 98757 and 98766 is 9.

Also check out the Least Common Multiple of 98757 and 98766