What is the Greatest Common Factor of 98745 and 98763?

Greatest common factor (GCF) of 98745 and 98763 is 3.

GCF(98745,98763) = 3

We will now calculate the prime factors of 98745 and 98763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98745 and 98763.

How to find the GCF of 98745 and 98763?

We will first find the prime factorization of 98745 and 98763. After we will calculate the factors of 98745 and 98763 and find the biggest common factor number .

Step-1: Prime Factorization of 98745

Prime factors of 98745 are 3, 5, 29, 227. Prime factorization of 98745 in exponential form is:

98745 = 3¹ × 5¹ × 29¹ × 227¹

Step-2: 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-3: Factors of 98745

List of positive integer factors of 98745 that divides 98745 without a remainder.

1, 3, 5, 15, 29, 87, 145, 227, 435, 681, 1135, 3405, 6583, 19749, 32915

Step-4: Factors of 98763

List of positive integer factors of 98763 that divides 98745 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98745 and 98763. The biggest common factor number is the GCF number.
So the greatest common factor 98745 and 98763 is 3.

Also check out the Least Common Multiple of 98745 and 98763