What is the Greatest Common Factor of 85238 and 85257?

Greatest common factor (GCF) of 85238 and 85257 is 1.

GCF(85238,85257) = 1

We will now calculate the prime factors of 85238 and 85257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85238 and 85257.

How to find the GCF of 85238 and 85257?

We will first find the prime factorization of 85238 and 85257. After we will calculate the factors of 85238 and 85257 and find the biggest common factor number .

Step-1: Prime Factorization of 85238

Prime factors of 85238 are 2, 17, 23, 109. Prime factorization of 85238 in exponential form is:

85238 = 2¹ × 17¹ × 23¹ × 109¹

Step-2: Prime Factorization of 85257

Prime factors of 85257 are 3, 9473. Prime factorization of 85257 in exponential form is:

85257 = 3² × 9473¹

Step-3: Factors of 85238

List of positive integer factors of 85238 that divides 85238 without a remainder.

1, 2, 17, 23, 34, 46, 109, 218, 391, 782, 1853, 2507, 3706, 5014, 42619

Step-4: Factors of 85257

List of positive integer factors of 85257 that divides 85238 without a remainder.

1, 3, 9, 9473, 28419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85238 and 85257. The biggest common factor number is the GCF number.
So the greatest common factor 85238 and 85257 is 1.

Also check out the Least Common Multiple of 85238 and 85257