What is the Greatest Common Factor of 95382 and 95389?

Greatest common factor (GCF) of 95382 and 95389 is 7.

GCF(95382,95389) = 7

We will now calculate the prime factors of 95382 and 95389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95382 and 95389.

How to find the GCF of 95382 and 95389?

We will first find the prime factorization of 95382 and 95389. After we will calculate the factors of 95382 and 95389 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 95389

Prime factors of 95389 are 7, 13627. Prime factorization of 95389 in exponential form is:

95389 = 7¹ × 13627¹

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 95389

List of positive integer factors of 95389 that divides 95382 without a remainder.

1, 7, 13627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95382 and 95389. The biggest common factor number is the GCF number.
So the greatest common factor 95382 and 95389 is 7.

Also check out the Least Common Multiple of 95382 and 95389