What is the Greatest Common Factor of 85540 and 85554?

Greatest common factor (GCF) of 85540 and 85554 is 14.

GCF(85540,85554) = 14

We will now calculate the prime factors of 85540 and 85554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85540 and 85554.

How to find the GCF of 85540 and 85554?

We will first find the prime factorization of 85540 and 85554. After we will calculate the factors of 85540 and 85554 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85554

Prime factors of 85554 are 2, 3, 7, 97. Prime factorization of 85554 in exponential form is:

85554 = 2¹ × 3² × 7² × 97¹

Step-3: Factors of 85540

List of positive integer factors of 85540 that divides 85540 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

Step-4: Factors of 85554

List of positive integer factors of 85554 that divides 85540 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 97, 98, 126, 147, 194, 291, 294, 441, 582, 679, 873, 882, 1358, 1746, 2037, 4074, 4753, 6111, 9506, 12222, 14259, 28518, 42777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85540 and 85554. The biggest common factor number is the GCF number.
So the greatest common factor 85540 and 85554 is 14.

Also check out the Least Common Multiple of 85540 and 85554