What is the Greatest Common Factor of 95849 and 95862?

Greatest common factor (GCF) of 95849 and 95862 is 13.

GCF(95849,95862) = 13

We will now calculate the prime factors of 95849 and 95862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95849 and 95862.

How to find the GCF of 95849 and 95862?

We will first find the prime factorization of 95849 and 95862. After we will calculate the factors of 95849 and 95862 and find the biggest common factor number .

Step-1: Prime Factorization of 95849

Prime factors of 95849 are 13, 73, 101. Prime factorization of 95849 in exponential form is:

95849 = 13¹ × 73¹ × 101¹

Step-2: Prime Factorization of 95862

Prime factors of 95862 are 2, 3, 13, 1229. Prime factorization of 95862 in exponential form is:

95862 = 2¹ × 3¹ × 13¹ × 1229¹

Step-3: Factors of 95849

List of positive integer factors of 95849 that divides 95849 without a remainder.

1, 13, 73, 101, 949, 1313, 7373

Step-4: Factors of 95862

List of positive integer factors of 95862 that divides 95849 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1229, 2458, 3687, 7374, 15977, 31954, 47931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95849 and 95862. The biggest common factor number is the GCF number.
So the greatest common factor 95849 and 95862 is 13.

Also check out the Least Common Multiple of 95849 and 95862