What is the Greatest Common Factor of 85540 and 85553?

Greatest common factor (GCF) of 85540 and 85553 is 13.

GCF(85540,85553) = 13

We will now calculate the prime factors of 85540 and 85553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85540 and 85553.

How to find the GCF of 85540 and 85553?

We will first find the prime factorization of 85540 and 85553. After we will calculate the factors of 85540 and 85553 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 85553

Prime factors of 85553 are 13, 6581. Prime factorization of 85553 in exponential form is:

85553 = 13¹ × 6581¹

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 85553

List of positive integer factors of 85553 that divides 85540 without a remainder.

1, 13, 6581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85540 and 85553. The biggest common factor number is the GCF number.
So the greatest common factor 85540 and 85553 is 13.

Also check out the Least Common Multiple of 85540 and 85553