What is the Greatest Common Factor of 98705 and 98712?

Greatest common factor (GCF) of 98705 and 98712 is 1.

GCF(98705,98712) = 1

We will now calculate the prime factors of 98705 and 98712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98705 and 98712.

How to find the GCF of 98705 and 98712?

We will first find the prime factorization of 98705 and 98712. After we will calculate the factors of 98705 and 98712 and find the biggest common factor number .

Step-1: Prime Factorization of 98705

Prime factors of 98705 are 5, 19, 1039. Prime factorization of 98705 in exponential form is:

98705 = 5¹ × 19¹ × 1039¹

Step-2: Prime Factorization of 98712

Prime factors of 98712 are 2, 3, 457. Prime factorization of 98712 in exponential form is:

98712 = 2³ × 3³ × 457¹

Step-3: Factors of 98705

List of positive integer factors of 98705 that divides 98705 without a remainder.

1, 5, 19, 95, 1039, 5195, 19741

Step-4: Factors of 98712

List of positive integer factors of 98712 that divides 98705 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 457, 914, 1371, 1828, 2742, 3656, 4113, 5484, 8226, 10968, 12339, 16452, 24678, 32904, 49356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98705 and 98712. The biggest common factor number is the GCF number.
So the greatest common factor 98705 and 98712 is 1.

Also check out the Least Common Multiple of 98705 and 98712