What is the Greatest Common Factor of 93562 and 93576?

Greatest common factor (GCF) of 93562 and 93576 is 14.

GCF(93562,93576) = 14

We will now calculate the prime factors of 93562 and 93576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93562 and 93576.

How to find the GCF of 93562 and 93576?

We will first find the prime factorization of 93562 and 93576. After we will calculate the factors of 93562 and 93576 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93576

Prime factors of 93576 are 2, 3, 7, 557. Prime factorization of 93576 in exponential form is:

93576 = 2³ × 3¹ × 7¹ × 557¹

Step-3: Factors of 93562

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

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

Step-4: Factors of 93576

List of positive integer factors of 93576 that divides 93562 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 557, 1114, 1671, 2228, 3342, 3899, 4456, 6684, 7798, 11697, 13368, 15596, 23394, 31192, 46788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93562 and 93576. The biggest common factor number is the GCF number.
So the greatest common factor 93562 and 93576 is 14.

Also check out the Least Common Multiple of 93562 and 93576