What is the Greatest Common Factor of 85238 and 85256?

Greatest common factor (GCF) of 85238 and 85256 is 2.

GCF(85238,85256) = 2

We will now calculate the prime factors of 85238 and 85256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85238 and 85256.

How to find the GCF of 85238 and 85256?

We will first find the prime factorization of 85238 and 85256. After we will calculate the factors of 85238 and 85256 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 85256

Prime factors of 85256 are 2, 10657. Prime factorization of 85256 in exponential form is:

85256 = 2³ × 10657¹

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 85256

List of positive integer factors of 85256 that divides 85238 without a remainder.

1, 2, 4, 8, 10657, 21314, 42628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85238 and 85256. The biggest common factor number is the GCF number.
So the greatest common factor 85238 and 85256 is 2.

Also check out the Least Common Multiple of 85238 and 85256