What is the Greatest Common Factor of 95338 and 95352?

Greatest common factor (GCF) of 95338 and 95352 is 2.

GCF(95338,95352) = 2

We will now calculate the prime factors of 95338 and 95352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95338 and 95352.

How to find the GCF of 95338 and 95352?

We will first find the prime factorization of 95338 and 95352. After we will calculate the factors of 95338 and 95352 and find the biggest common factor number .

Step-1: Prime Factorization of 95338

Prime factors of 95338 are 2, 73, 653. Prime factorization of 95338 in exponential form is:

95338 = 2¹ × 73¹ × 653¹

Step-2: 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-3: Factors of 95338

List of positive integer factors of 95338 that divides 95338 without a remainder.

1, 2, 73, 146, 653, 1306, 47669

Step-4: Factors of 95352

List of positive integer factors of 95352 that divides 95338 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95338 and 95352. The biggest common factor number is the GCF number.
So the greatest common factor 95338 and 95352 is 2.

Also check out the Least Common Multiple of 95338 and 95352