What is the Greatest Common Factor of 95797 and 95810?

Greatest common factor (GCF) of 95797 and 95810 is 13.

GCF(95797,95810) = 13

We will now calculate the prime factors of 95797 and 95810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95797 and 95810.

How to find the GCF of 95797 and 95810?

We will first find the prime factorization of 95797 and 95810. After we will calculate the factors of 95797 and 95810 and find the biggest common factor number .

Step-1: Prime Factorization of 95797

Prime factors of 95797 are 13, 7369. Prime factorization of 95797 in exponential form is:

95797 = 13¹ × 7369¹

Step-2: Prime Factorization of 95810

Prime factors of 95810 are 2, 5, 11, 13, 67. Prime factorization of 95810 in exponential form is:

95810 = 2¹ × 5¹ × 11¹ × 13¹ × 67¹

Step-3: Factors of 95797

List of positive integer factors of 95797 that divides 95797 without a remainder.

1, 13, 7369

Step-4: Factors of 95810

List of positive integer factors of 95810 that divides 95797 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 67, 110, 130, 134, 143, 286, 335, 670, 715, 737, 871, 1430, 1474, 1742, 3685, 4355, 7370, 8710, 9581, 19162, 47905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95797 and 95810. The biggest common factor number is the GCF number.
So the greatest common factor 95797 and 95810 is 13.

Also check out the Least Common Multiple of 95797 and 95810