What is the Greatest Common Factor of 98756 and 98766?

Greatest common factor (GCF) of 98756 and 98766 is 2.

GCF(98756,98766) = 2

We will now calculate the prime factors of 98756 and 98766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98756 and 98766.

How to find the GCF of 98756 and 98766?

We will first find the prime factorization of 98756 and 98766. After we will calculate the factors of 98756 and 98766 and find the biggest common factor number .

Step-1: Prime Factorization of 98756

Prime factors of 98756 are 2, 7, 3527. Prime factorization of 98756 in exponential form is:

98756 = 2² × 7¹ × 3527¹

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 98756

List of positive integer factors of 98756 that divides 98756 without a remainder.

1, 2, 4, 7, 14, 28, 3527, 7054, 14108, 24689, 49378

Step-4: Factors of 98766

List of positive integer factors of 98766 that divides 98756 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 98756 and 98766. The biggest common factor number is the GCF number.
So the greatest common factor 98756 and 98766 is 2.

Also check out the Least Common Multiple of 98756 and 98766