What is the Greatest Common Factor of 98794 and 98813?

Greatest common factor (GCF) of 98794 and 98813 is 1.

GCF(98794,98813) = 1

We will now calculate the prime factors of 98794 and 98813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98794 and 98813.

How to find the GCF of 98794 and 98813?

We will first find the prime factorization of 98794 and 98813. After we will calculate the factors of 98794 and 98813 and find the biggest common factor number .

Step-1: Prime Factorization of 98794

Prime factors of 98794 are 2, 47, 1051. Prime factorization of 98794 in exponential form is:

98794 = 2¹ × 47¹ × 1051¹

Step-2: 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-3: Factors of 98794

List of positive integer factors of 98794 that divides 98794 without a remainder.

1, 2, 47, 94, 1051, 2102, 49397

Step-4: Factors of 98813

List of positive integer factors of 98813 that divides 98794 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98794 and 98813. The biggest common factor number is the GCF number.
So the greatest common factor 98794 and 98813 is 1.

Also check out the Least Common Multiple of 98794 and 98813