What is the Greatest Common Factor of 97838 and 97851?

Greatest common factor (GCF) of 97838 and 97851 is 13.

GCF(97838,97851) = 13

We will now calculate the prime factors of 97838 and 97851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97838 and 97851.

How to find the GCF of 97838 and 97851?

We will first find the prime factorization of 97838 and 97851. After we will calculate the factors of 97838 and 97851 and find the biggest common factor number .

Step-1: Prime Factorization of 97838

Prime factors of 97838 are 2, 13, 53, 71. Prime factorization of 97838 in exponential form is:

97838 = 2¹ × 13¹ × 53¹ × 71¹

Step-2: Prime Factorization of 97851

Prime factors of 97851 are 3, 13, 193. Prime factorization of 97851 in exponential form is:

97851 = 3¹ × 13² × 193¹

Step-3: Factors of 97838

List of positive integer factors of 97838 that divides 97838 without a remainder.

1, 2, 13, 26, 53, 71, 106, 142, 689, 923, 1378, 1846, 3763, 7526, 48919

Step-4: Factors of 97851

List of positive integer factors of 97851 that divides 97838 without a remainder.

1, 3, 13, 39, 169, 193, 507, 579, 2509, 7527, 32617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97838 and 97851. The biggest common factor number is the GCF number.
So the greatest common factor 97838 and 97851 is 13.

Also check out the Least Common Multiple of 97838 and 97851