What is the Greatest Common Factor of 95352 and 95366?

Greatest common factor (GCF) of 95352 and 95366 is 2.

GCF(95352,95366) = 2

We will now calculate the prime factors of 95352 and 95366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95352 and 95366.

How to find the GCF of 95352 and 95366?

We will first find the prime factorization of 95352 and 95366. After we will calculate the factors of 95352 and 95366 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 95366

Prime factors of 95366 are 2, 41, 1163. Prime factorization of 95366 in exponential form is:

95366 = 2¹ × 41¹ × 1163¹

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 95366

List of positive integer factors of 95366 that divides 95352 without a remainder.

1, 2, 41, 82, 1163, 2326, 47683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95352 and 95366. The biggest common factor number is the GCF number.
So the greatest common factor 95352 and 95366 is 2.

Also check out the Least Common Multiple of 95352 and 95366