What is the Greatest Common Factor of 98813 and 98827?

Greatest common factor (GCF) of 98813 and 98827 is 1.

GCF(98813,98827) = 1

We will now calculate the prime factors of 98813 and 98827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98813 and 98827.

How to find the GCF of 98813 and 98827?

We will first find the prime factorization of 98813 and 98827. After we will calculate the factors of 98813 and 98827 and find the biggest common factor number .

Step-1: Prime Factorization of 98813

Prime factors of 98813 are 11, 13, 691. Prime factorization of 98813 in exponential form is:

98813 = 11¹ × 13¹ × 691¹

Step-2: Prime Factorization of 98827

Prime factors of 98827 are 37, 2671. Prime factorization of 98827 in exponential form is:

98827 = 37¹ × 2671¹

Step-3: Factors of 98813

List of positive integer factors of 98813 that divides 98813 without a remainder.

1, 11, 13, 143, 691, 7601, 8983

Step-4: Factors of 98827

List of positive integer factors of 98827 that divides 98813 without a remainder.

1, 37, 2671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98813 and 98827. The biggest common factor number is the GCF number.
So the greatest common factor 98813 and 98827 is 1.

Also check out the Least Common Multiple of 98813 and 98827