What is the Greatest Common Factor of 86435 and 86442?

Greatest common factor (GCF) of 86435 and 86442 is 1.

GCF(86435,86442) = 1

We will now calculate the prime factors of 86435 and 86442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86435 and 86442.

How to find the GCF of 86435 and 86442?

We will first find the prime factorization of 86435 and 86442. After we will calculate the factors of 86435 and 86442 and find the biggest common factor number .

Step-1: Prime Factorization of 86435

Prime factors of 86435 are 5, 59, 293. Prime factorization of 86435 in exponential form is:

86435 = 5¹ × 59¹ × 293¹

Step-2: Prime Factorization of 86442

Prime factors of 86442 are 2, 3, 14407. Prime factorization of 86442 in exponential form is:

86442 = 2¹ × 3¹ × 14407¹

Step-3: Factors of 86435

List of positive integer factors of 86435 that divides 86435 without a remainder.

1, 5, 59, 293, 295, 1465, 17287

Step-4: Factors of 86442

List of positive integer factors of 86442 that divides 86435 without a remainder.

1, 2, 3, 6, 14407, 28814, 43221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86435 and 86442. The biggest common factor number is the GCF number.
So the greatest common factor 86435 and 86442 is 1.

Also check out the Least Common Multiple of 86435 and 86442