What is the Greatest Common Factor of 85400 and 85404?

Greatest common factor (GCF) of 85400 and 85404 is 4.

GCF(85400,85404) = 4

We will now calculate the prime factors of 85400 and 85404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85400 and 85404.

How to find the GCF of 85400 and 85404?

We will first find the prime factorization of 85400 and 85404. After we will calculate the factors of 85400 and 85404 and find the biggest common factor number .

Step-1: Prime Factorization of 85400

Prime factors of 85400 are 2, 5, 7, 61. Prime factorization of 85400 in exponential form is:

85400 = 2³ × 5² × 7¹ × 61¹

Step-2: Prime Factorization of 85404

Prime factors of 85404 are 2, 3, 11, 647. Prime factorization of 85404 in exponential form is:

85404 = 2² × 3¹ × 11¹ × 647¹

Step-3: Factors of 85400

List of positive integer factors of 85400 that divides 85400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 61, 70, 100, 122, 140, 175, 200, 244, 280, 305, 350, 427, 488, 610, 700, 854, 1220, 1400, 1525, 1708, 2135, 2440, 3050, 3416, 4270, 6100, 8540, 10675, 12200, 17080, 21350, 42700

Step-4: Factors of 85404

List of positive integer factors of 85404 that divides 85400 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 647, 1294, 1941, 2588, 3882, 7117, 7764, 14234, 21351, 28468, 42702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85400 and 85404. The biggest common factor number is the GCF number.
So the greatest common factor 85400 and 85404 is 4.

Also check out the Least Common Multiple of 85400 and 85404