What is the Greatest Common Factor of 98745 and 98757?

Greatest common factor (GCF) of 98745 and 98757 is 3.

GCF(98745,98757) = 3

We will now calculate the prime factors of 98745 and 98757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98745 and 98757.

How to find the GCF of 98745 and 98757?

We will first find the prime factorization of 98745 and 98757. After we will calculate the factors of 98745 and 98757 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 98757

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

98757 = 3² × 10973¹

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 98757

List of positive integer factors of 98757 that divides 98745 without a remainder.

1, 3, 9, 10973, 32919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98745 and 98757. The biggest common factor number is the GCF number.
So the greatest common factor 98745 and 98757 is 3.

Also check out the Least Common Multiple of 98745 and 98757