What is the Greatest Common Factor of 94524 and 94540?

Greatest common factor (GCF) of 94524 and 94540 is 4.

GCF(94524,94540) = 4

We will now calculate the prime factors of 94524 and 94540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94524 and 94540.

How to find the GCF of 94524 and 94540?

We will first find the prime factorization of 94524 and 94540. After we will calculate the factors of 94524 and 94540 and find the biggest common factor number .

Step-1: Prime Factorization of 94524

Prime factors of 94524 are 2, 3, 7877. Prime factorization of 94524 in exponential form is:

94524 = 2² × 3¹ × 7877¹

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 94524

List of positive integer factors of 94524 that divides 94524 without a remainder.

1, 2, 3, 4, 6, 12, 7877, 15754, 23631, 31508, 47262

Step-4: Factors of 94540

List of positive integer factors of 94540 that divides 94524 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 94524 and 94540. The biggest common factor number is the GCF number.
So the greatest common factor 94524 and 94540 is 4.

Also check out the Least Common Multiple of 94524 and 94540