What is the Greatest Common Factor of 98742 and 98751?

Greatest common factor (GCF) of 98742 and 98751 is 3.

GCF(98742,98751) = 3

We will now calculate the prime factors of 98742 and 98751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98742 and 98751.

How to find the GCF of 98742 and 98751?

We will first find the prime factorization of 98742 and 98751. After we will calculate the factors of 98742 and 98751 and find the biggest common factor number .

Step-1: Prime Factorization of 98742

Prime factors of 98742 are 2, 3, 7, 2351. Prime factorization of 98742 in exponential form is:

98742 = 2¹ × 3¹ × 7¹ × 2351¹

Step-2: Prime Factorization of 98751

Prime factors of 98751 are 3, 32917. Prime factorization of 98751 in exponential form is:

98751 = 3¹ × 32917¹

Step-3: Factors of 98742

List of positive integer factors of 98742 that divides 98742 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2351, 4702, 7053, 14106, 16457, 32914, 49371

Step-4: Factors of 98751

List of positive integer factors of 98751 that divides 98742 without a remainder.

1, 3, 32917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98742 and 98751. The biggest common factor number is the GCF number.
So the greatest common factor 98742 and 98751 is 3.

Also check out the Least Common Multiple of 98742 and 98751