What is the Greatest Common Factor of 98738 and 98753?

Greatest common factor (GCF) of 98738 and 98753 is 1.

GCF(98738,98753) = 1

We will now calculate the prime factors of 98738 and 98753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98738 and 98753.

How to find the GCF of 98738 and 98753?

We will first find the prime factorization of 98738 and 98753. After we will calculate the factors of 98738 and 98753 and find the biggest common factor number .

Step-1: Prime Factorization of 98738

Prime factors of 98738 are 2, 49369. Prime factorization of 98738 in exponential form is:

98738 = 2¹ × 49369¹

Step-2: Prime Factorization of 98753

Prime factors of 98753 are 17, 37, 157. Prime factorization of 98753 in exponential form is:

98753 = 17¹ × 37¹ × 157¹

Step-3: Factors of 98738

List of positive integer factors of 98738 that divides 98738 without a remainder.

1, 2, 49369

Step-4: Factors of 98753

List of positive integer factors of 98753 that divides 98738 without a remainder.

1, 17, 37, 157, 629, 2669, 5809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98738 and 98753. The biggest common factor number is the GCF number.
So the greatest common factor 98738 and 98753 is 1.

Also check out the Least Common Multiple of 98738 and 98753