What is the Greatest Common Factor of 95381 and 95387?

Greatest common factor (GCF) of 95381 and 95387 is 1.

GCF(95381,95387) = 1

We will now calculate the prime factors of 95381 and 95387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95381 and 95387.

How to find the GCF of 95381 and 95387?

We will first find the prime factorization of 95381 and 95387. After we will calculate the factors of 95381 and 95387 and find the biggest common factor number .

Step-1: Prime Factorization of 95381

Prime factors of 95381 are 11, 13, 23, 29. Prime factorization of 95381 in exponential form is:

95381 = 11¹ × 13¹ × 23¹ × 29¹

Step-2: Prime Factorization of 95387

Prime factors of 95387 are 17, 31, 181. Prime factorization of 95387 in exponential form is:

95387 = 17¹ × 31¹ × 181¹

Step-3: Factors of 95381

List of positive integer factors of 95381 that divides 95381 without a remainder.

1, 11, 13, 23, 29, 143, 253, 299, 319, 377, 667, 3289, 4147, 7337, 8671

Step-4: Factors of 95387

List of positive integer factors of 95387 that divides 95381 without a remainder.

1, 17, 31, 181, 527, 3077, 5611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95381 and 95387. The biggest common factor number is the GCF number.
So the greatest common factor 95381 and 95387 is 1.

Also check out the Least Common Multiple of 95381 and 95387