What is the Greatest Common Factor of 93548 and 93562?

Greatest common factor (GCF) of 93548 and 93562 is 14.

GCF(93548,93562) = 14

We will now calculate the prime factors of 93548 and 93562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93548 and 93562.

How to find the GCF of 93548 and 93562?

We will first find the prime factorization of 93548 and 93562. After we will calculate the factors of 93548 and 93562 and find the biggest common factor number .

Step-1: Prime Factorization of 93548

Prime factors of 93548 are 2, 7, 13, 257. Prime factorization of 93548 in exponential form is:

93548 = 2² × 7¹ × 13¹ × 257¹

Step-2: Prime Factorization of 93562

Prime factors of 93562 are 2, 7, 41, 163. Prime factorization of 93562 in exponential form is:

93562 = 2¹ × 7¹ × 41¹ × 163¹

Step-3: Factors of 93548

List of positive integer factors of 93548 that divides 93548 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 257, 364, 514, 1028, 1799, 3341, 3598, 6682, 7196, 13364, 23387, 46774

Step-4: Factors of 93562

List of positive integer factors of 93562 that divides 93548 without a remainder.

1, 2, 7, 14, 41, 82, 163, 287, 326, 574, 1141, 2282, 6683, 13366, 46781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93548 and 93562. The biggest common factor number is the GCF number.
So the greatest common factor 93548 and 93562 is 14.

Also check out the Least Common Multiple of 93548 and 93562