What is the Greatest Common Factor of 95382 and 95391?

Greatest common factor (GCF) of 95382 and 95391 is 9.

GCF(95382,95391) = 9

We will now calculate the prime factors of 95382 and 95391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95382 and 95391.

How to find the GCF of 95382 and 95391?

We will first find the prime factorization of 95382 and 95391. After we will calculate the factors of 95382 and 95391 and find the biggest common factor number .

Step-1: Prime Factorization of 95382

Prime factors of 95382 are 2, 3, 7, 757. Prime factorization of 95382 in exponential form is:

95382 = 2¹ × 3² × 7¹ × 757¹

Step-2: Prime Factorization of 95391

Prime factors of 95391 are 3, 3533. Prime factorization of 95391 in exponential form is:

95391 = 3³ × 3533¹

Step-3: Factors of 95382

List of positive integer factors of 95382 that divides 95382 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 757, 1514, 2271, 4542, 5299, 6813, 10598, 13626, 15897, 31794, 47691

Step-4: Factors of 95391

List of positive integer factors of 95391 that divides 95382 without a remainder.

1, 3, 9, 27, 3533, 10599, 31797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95382 and 95391. The biggest common factor number is the GCF number.
So the greatest common factor 95382 and 95391 is 9.

Also check out the Least Common Multiple of 95382 and 95391