What is the Greatest Common Factor of 98763 and 98769?

Greatest common factor (GCF) of 98763 and 98769 is 3.

GCF(98763,98769) = 3

We will now calculate the prime factors of 98763 and 98769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98763 and 98769.

How to find the GCF of 98763 and 98769?

We will first find the prime factorization of 98763 and 98769. After we will calculate the factors of 98763 and 98769 and find the biggest common factor number .

Step-1: Prime Factorization of 98763

Prime factors of 98763 are 3, 7, 4703. Prime factorization of 98763 in exponential form is:

98763 = 3¹ × 7¹ × 4703¹

Step-2: Prime Factorization of 98769

Prime factors of 98769 are 3, 11, 41, 73. Prime factorization of 98769 in exponential form is:

98769 = 3¹ × 11¹ × 41¹ × 73¹

Step-3: Factors of 98763

List of positive integer factors of 98763 that divides 98763 without a remainder.

1, 3, 7, 21, 4703, 14109, 32921

Step-4: Factors of 98769

List of positive integer factors of 98769 that divides 98763 without a remainder.

1, 3, 11, 33, 41, 73, 123, 219, 451, 803, 1353, 2409, 2993, 8979, 32923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98763 and 98769. The biggest common factor number is the GCF number.
So the greatest common factor 98763 and 98769 is 3.

Also check out the Least Common Multiple of 98763 and 98769