What is the Greatest Common Factor of 85407 and 85413?

Greatest common factor (GCF) of 85407 and 85413 is 3.

GCF(85407,85413) = 3

We will now calculate the prime factors of 85407 and 85413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85407 and 85413.

How to find the GCF of 85407 and 85413?

We will first find the prime factorization of 85407 and 85413. After we will calculate the factors of 85407 and 85413 and find the biggest common factor number .

Step-1: Prime Factorization of 85407

Prime factors of 85407 are 3, 7, 83. Prime factorization of 85407 in exponential form is:

85407 = 3¹ × 7³ × 83¹

Step-2: Prime Factorization of 85413

Prime factors of 85413 are 3, 71, 401. Prime factorization of 85413 in exponential form is:

85413 = 3¹ × 71¹ × 401¹

Step-3: Factors of 85407

List of positive integer factors of 85407 that divides 85407 without a remainder.

1, 3, 7, 21, 49, 83, 147, 249, 343, 581, 1029, 1743, 4067, 12201, 28469

Step-4: Factors of 85413

List of positive integer factors of 85413 that divides 85407 without a remainder.

1, 3, 71, 213, 401, 1203, 28471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85407 and 85413. The biggest common factor number is the GCF number.
So the greatest common factor 85407 and 85413 is 3.

Also check out the Least Common Multiple of 85407 and 85413