What is the Greatest Common Factor of 97838 and 97846?

Greatest common factor (GCF) of 97838 and 97846 is 2.

GCF(97838,97846) = 2

We will now calculate the prime factors of 97838 and 97846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97838 and 97846.

How to find the GCF of 97838 and 97846?

We will first find the prime factorization of 97838 and 97846. After we will calculate the factors of 97838 and 97846 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 97846

Prime factors of 97846 are 2, 7, 29, 241. Prime factorization of 97846 in exponential form is:

97846 = 2¹ × 7¹ × 29¹ × 241¹

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 97846

List of positive integer factors of 97846 that divides 97838 without a remainder.

1, 2, 7, 14, 29, 58, 203, 241, 406, 482, 1687, 3374, 6989, 13978, 48923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97838 and 97846. The biggest common factor number is the GCF number.
So the greatest common factor 97838 and 97846 is 2.

Also check out the Least Common Multiple of 97838 and 97846