What is the Greatest Common Factor of 98758 and 98771?

Greatest common factor (GCF) of 98758 and 98771 is 1.

GCF(98758,98771) = 1

We will now calculate the prime factors of 98758 and 98771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98758 and 98771.

How to find the GCF of 98758 and 98771?

We will first find the prime factorization of 98758 and 98771. After we will calculate the factors of 98758 and 98771 and find the biggest common factor number .

Step-1: Prime Factorization of 98758

Prime factors of 98758 are 2, 11, 67. Prime factorization of 98758 in exponential form is:

98758 = 2¹ × 11¹ × 67²

Step-2: Prime Factorization of 98771

Prime factors of 98771 are 43, 2297. Prime factorization of 98771 in exponential form is:

98771 = 43¹ × 2297¹

Step-3: Factors of 98758

List of positive integer factors of 98758 that divides 98758 without a remainder.

1, 2, 11, 22, 67, 134, 737, 1474, 4489, 8978, 49379

Step-4: Factors of 98771

List of positive integer factors of 98771 that divides 98758 without a remainder.

1, 43, 2297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98758 and 98771. The biggest common factor number is the GCF number.
So the greatest common factor 98758 and 98771 is 1.

Also check out the Least Common Multiple of 98758 and 98771