What is the Greatest Common Factor of 85423 and 85436?

Greatest common factor (GCF) of 85423 and 85436 is 13.

GCF(85423,85436) = 13

We will now calculate the prime factors of 85423 and 85436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85423 and 85436.

How to find the GCF of 85423 and 85436?

We will first find the prime factorization of 85423 and 85436. After we will calculate the factors of 85423 and 85436 and find the biggest common factor number .

Step-1: Prime Factorization of 85423

Prime factors of 85423 are 13, 6571. Prime factorization of 85423 in exponential form is:

85423 = 13¹ × 6571¹

Step-2: Prime Factorization of 85436

Prime factors of 85436 are 2, 13, 31, 53. Prime factorization of 85436 in exponential form is:

85436 = 2² × 13¹ × 31¹ × 53¹

Step-3: Factors of 85423

List of positive integer factors of 85423 that divides 85423 without a remainder.

1, 13, 6571

Step-4: Factors of 85436

List of positive integer factors of 85436 that divides 85423 without a remainder.

1, 2, 4, 13, 26, 31, 52, 53, 62, 106, 124, 212, 403, 689, 806, 1378, 1612, 1643, 2756, 3286, 6572, 21359, 42718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85423 and 85436. The biggest common factor number is the GCF number.
So the greatest common factor 85423 and 85436 is 13.

Also check out the Least Common Multiple of 85423 and 85436