What is the Greatest Common Factor of 94530 and 94536?

Greatest common factor (GCF) of 94530 and 94536 is 6.

GCF(94530,94536) = 6

We will now calculate the prime factors of 94530 and 94536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94530 and 94536.

How to find the GCF of 94530 and 94536?

We will first find the prime factorization of 94530 and 94536. After we will calculate the factors of 94530 and 94536 and find the biggest common factor number .

Step-1: Prime Factorization of 94530

Prime factors of 94530 are 2, 3, 5, 23, 137. Prime factorization of 94530 in exponential form is:

94530 = 2¹ × 3¹ × 5¹ × 23¹ × 137¹

Step-2: 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-3: Factors of 94530

List of positive integer factors of 94530 that divides 94530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 137, 138, 230, 274, 345, 411, 685, 690, 822, 1370, 2055, 3151, 4110, 6302, 9453, 15755, 18906, 31510, 47265

Step-4: Factors of 94536

List of positive integer factors of 94536 that divides 94530 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94530 and 94536. The biggest common factor number is the GCF number.
So the greatest common factor 94530 and 94536 is 6.

Also check out the Least Common Multiple of 94530 and 94536