What is the Greatest Common Factor of 85524 and 85540?

Greatest common factor (GCF) of 85524 and 85540 is 4.

GCF(85524,85540) = 4

We will now calculate the prime factors of 85524 and 85540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85524 and 85540.

How to find the GCF of 85524 and 85540?

We will first find the prime factorization of 85524 and 85540. After we will calculate the factors of 85524 and 85540 and find the biggest common factor number .

Step-1: Prime Factorization of 85524

Prime factors of 85524 are 2, 3, 7127. Prime factorization of 85524 in exponential form is:

85524 = 2² × 3¹ × 7127¹

Step-2: Prime Factorization of 85540

Prime factors of 85540 are 2, 5, 7, 13, 47. Prime factorization of 85540 in exponential form is:

85540 = 2² × 5¹ × 7¹ × 13¹ × 47¹

Step-3: Factors of 85524

List of positive integer factors of 85524 that divides 85524 without a remainder.

1, 2, 3, 4, 6, 12, 7127, 14254, 21381, 28508, 42762

Step-4: Factors of 85540

List of positive integer factors of 85540 that divides 85524 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 47, 52, 65, 70, 91, 94, 130, 140, 182, 188, 235, 260, 329, 364, 455, 470, 611, 658, 910, 940, 1222, 1316, 1645, 1820, 2444, 3055, 3290, 4277, 6110, 6580, 8554, 12220, 17108, 21385, 42770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85524 and 85540. The biggest common factor number is the GCF number.
So the greatest common factor 85524 and 85540 is 4.

Also check out the Least Common Multiple of 85524 and 85540