What is the Greatest Common Factor of 95888 and 95901?

Greatest common factor (GCF) of 95888 and 95901 is 13.

GCF(95888,95901) = 13

We will now calculate the prime factors of 95888 and 95901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95888 and 95901.

How to find the GCF of 95888 and 95901?

We will first find the prime factorization of 95888 and 95901. After we will calculate the factors of 95888 and 95901 and find the biggest common factor number .

Step-1: Prime Factorization of 95888

Prime factors of 95888 are 2, 13, 461. Prime factorization of 95888 in exponential form is:

95888 = 2⁴ × 13¹ × 461¹

Step-2: Prime Factorization of 95901

Prime factors of 95901 are 3, 13, 2459. Prime factorization of 95901 in exponential form is:

95901 = 3¹ × 13¹ × 2459¹

Step-3: Factors of 95888

List of positive integer factors of 95888 that divides 95888 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 461, 922, 1844, 3688, 5993, 7376, 11986, 23972, 47944

Step-4: Factors of 95901

List of positive integer factors of 95901 that divides 95888 without a remainder.

1, 3, 13, 39, 2459, 7377, 31967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95888 and 95901. The biggest common factor number is the GCF number.
So the greatest common factor 95888 and 95901 is 13.

Also check out the Least Common Multiple of 95888 and 95901