What is the Greatest Common Factor of 94530 and 94540?

Greatest common factor (GCF) of 94530 and 94540 is 10.

GCF(94530,94540) = 10

We will now calculate the prime factors of 94530 and 94540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94530 and 94540.

How to find the GCF of 94530 and 94540?

We will first find the prime factorization of 94530 and 94540. After we will calculate the factors of 94530 and 94540 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 94540

Prime factors of 94540 are 2, 5, 29, 163. Prime factorization of 94540 in exponential form is:

94540 = 2² × 5¹ × 29¹ × 163¹

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 94540

List of positive integer factors of 94540 that divides 94530 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 163, 290, 326, 580, 652, 815, 1630, 3260, 4727, 9454, 18908, 23635, 47270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94530 and 94540. The biggest common factor number is the GCF number.
So the greatest common factor 94530 and 94540 is 10.

Also check out the Least Common Multiple of 94530 and 94540