What is the Greatest Common Factor of 98739 and 98759?

Greatest common factor (GCF) of 98739 and 98759 is 1.

GCF(98739,98759) = 1

We will now calculate the prime factors of 98739 and 98759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98739 and 98759.

How to find the GCF of 98739 and 98759?

We will first find the prime factorization of 98739 and 98759. After we will calculate the factors of 98739 and 98759 and find the biggest common factor number .

Step-1: Prime Factorization of 98739

Prime factors of 98739 are 3, 23, 53. Prime factorization of 98739 in exponential form is:

98739 = 3⁴ × 23¹ × 53¹

Step-2: Prime Factorization of 98759

Prime factors of 98759 are 61, 1619. Prime factorization of 98759 in exponential form is:

98759 = 61¹ × 1619¹

Step-3: Factors of 98739

List of positive integer factors of 98739 that divides 98739 without a remainder.

1, 3, 9, 23, 27, 53, 69, 81, 159, 207, 477, 621, 1219, 1431, 1863, 3657, 4293, 10971, 32913

Step-4: Factors of 98759

List of positive integer factors of 98759 that divides 98739 without a remainder.

1, 61, 1619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98739 and 98759. The biggest common factor number is the GCF number.
So the greatest common factor 98739 and 98759 is 1.

Also check out the Least Common Multiple of 98739 and 98759