What is the Greatest Common Factor of 98743 and 98762?

Greatest common factor (GCF) of 98743 and 98762 is 19.

GCF(98743,98762) = 19

We will now calculate the prime factors of 98743 and 98762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98743 and 98762.

How to find the GCF of 98743 and 98762?

We will first find the prime factorization of 98743 and 98762. After we will calculate the factors of 98743 and 98762 and find the biggest common factor number .

Step-1: Prime Factorization of 98743

Prime factors of 98743 are 19, 5197. Prime factorization of 98743 in exponential form is:

98743 = 19¹ × 5197¹

Step-2: Prime Factorization of 98762

Prime factors of 98762 are 2, 19, 23, 113. Prime factorization of 98762 in exponential form is:

98762 = 2¹ × 19¹ × 23¹ × 113¹

Step-3: Factors of 98743

List of positive integer factors of 98743 that divides 98743 without a remainder.

1, 19, 5197

Step-4: Factors of 98762

List of positive integer factors of 98762 that divides 98743 without a remainder.

1, 2, 19, 23, 38, 46, 113, 226, 437, 874, 2147, 2599, 4294, 5198, 49381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98743 and 98762. The biggest common factor number is the GCF number.
So the greatest common factor 98743 and 98762 is 19.

Also check out the Least Common Multiple of 98743 and 98762