What is the Greatest Common Factor of 97825 and 97838?

Greatest common factor (GCF) of 97825 and 97838 is 13.

GCF(97825,97838) = 13

We will now calculate the prime factors of 97825 and 97838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97825 and 97838.

How to find the GCF of 97825 and 97838?

We will first find the prime factorization of 97825 and 97838. After we will calculate the factors of 97825 and 97838 and find the biggest common factor number .

Step-1: Prime Factorization of 97825

Prime factors of 97825 are 5, 7, 13, 43. Prime factorization of 97825 in exponential form is:

97825 = 5² × 7¹ × 13¹ × 43¹

Step-2: 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-3: Factors of 97825

List of positive integer factors of 97825 that divides 97825 without a remainder.

1, 5, 7, 13, 25, 35, 43, 65, 91, 175, 215, 301, 325, 455, 559, 1075, 1505, 2275, 2795, 3913, 7525, 13975, 19565

Step-4: Factors of 97838

List of positive integer factors of 97838 that divides 97825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97825 and 97838. The biggest common factor number is the GCF number.
So the greatest common factor 97825 and 97838 is 13.

Also check out the Least Common Multiple of 97825 and 97838