What is the Greatest Common Factor of 95352 and 95367?

Greatest common factor (GCF) of 95352 and 95367 is 3.

GCF(95352,95367) = 3

We will now calculate the prime factors of 95352 and 95367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95352 and 95367.

How to find the GCF of 95352 and 95367?

We will first find the prime factorization of 95352 and 95367. After we will calculate the factors of 95352 and 95367 and find the biggest common factor number .

Step-1: Prime Factorization of 95352

Prime factors of 95352 are 2, 3, 29, 137. Prime factorization of 95352 in exponential form is:

95352 = 2³ × 3¹ × 29¹ × 137¹

Step-2: Prime Factorization of 95367

Prime factors of 95367 are 3, 83, 383. Prime factorization of 95367 in exponential form is:

95367 = 3¹ × 83¹ × 383¹

Step-3: Factors of 95352

List of positive integer factors of 95352 that divides 95352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 137, 174, 232, 274, 348, 411, 548, 696, 822, 1096, 1644, 3288, 3973, 7946, 11919, 15892, 23838, 31784, 47676

Step-4: Factors of 95367

List of positive integer factors of 95367 that divides 95352 without a remainder.

1, 3, 83, 249, 383, 1149, 31789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95352 and 95367. The biggest common factor number is the GCF number.
So the greatest common factor 95352 and 95367 is 3.

Also check out the Least Common Multiple of 95352 and 95367