What is the Greatest Common Factor of 94536 and 94549?

Greatest common factor (GCF) of 94536 and 94549 is 13.

GCF(94536,94549) = 13

We will now calculate the prime factors of 94536 and 94549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94536 and 94549.

How to find the GCF of 94536 and 94549?

We will first find the prime factorization of 94536 and 94549. After we will calculate the factors of 94536 and 94549 and find the biggest common factor number .

Step-1: Prime Factorization of 94536

Prime factors of 94536 are 2, 3, 13, 101. Prime factorization of 94536 in exponential form is:

94536 = 2³ × 3² × 13¹ × 101¹

Step-2: Prime Factorization of 94549

Prime factors of 94549 are 7, 13, 1039. Prime factorization of 94549 in exponential form is:

94549 = 7¹ × 13¹ × 1039¹

Step-3: Factors of 94536

List of positive integer factors of 94536 that divides 94536 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 101, 104, 117, 156, 202, 234, 303, 312, 404, 468, 606, 808, 909, 936, 1212, 1313, 1818, 2424, 2626, 3636, 3939, 5252, 7272, 7878, 10504, 11817, 15756, 23634, 31512, 47268

Step-4: Factors of 94549

List of positive integer factors of 94549 that divides 94536 without a remainder.

1, 7, 13, 91, 1039, 7273, 13507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94536 and 94549. The biggest common factor number is the GCF number.
So the greatest common factor 94536 and 94549 is 13.

Also check out the Least Common Multiple of 94536 and 94549