What is the Greatest Common Factor of 94530 and 94548?

Greatest common factor (GCF) of 94530 and 94548 is 6.

GCF(94530,94548) = 6

We will now calculate the prime factors of 94530 and 94548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94530 and 94548.

How to find the GCF of 94530 and 94548?

We will first find the prime factorization of 94530 and 94548. After we will calculate the factors of 94530 and 94548 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 94548

Prime factors of 94548 are 2, 3, 7879. Prime factorization of 94548 in exponential form is:

94548 = 2² × 3¹ × 7879¹

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 94548

List of positive integer factors of 94548 that divides 94530 without a remainder.

1, 2, 3, 4, 6, 12, 7879, 15758, 23637, 31516, 47274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94530 and 94548. The biggest common factor number is the GCF number.
So the greatest common factor 94530 and 94548 is 6.

Also check out the Least Common Multiple of 94530 and 94548