What is the Greatest Common Factor of 85236 and 85256?

Greatest common factor (GCF) of 85236 and 85256 is 4.

GCF(85236,85256) = 4

We will now calculate the prime factors of 85236 and 85256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85236 and 85256.

How to find the GCF of 85236 and 85256?

We will first find the prime factorization of 85236 and 85256. After we will calculate the factors of 85236 and 85256 and find the biggest common factor number .

Step-1: Prime Factorization of 85236

Prime factors of 85236 are 2, 3, 7103. Prime factorization of 85236 in exponential form is:

85236 = 2² × 3¹ × 7103¹

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 85236

List of positive integer factors of 85236 that divides 85236 without a remainder.

1, 2, 3, 4, 6, 12, 7103, 14206, 21309, 28412, 42618

Step-4: Factors of 85256

List of positive integer factors of 85256 that divides 85236 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85236 and 85256. The biggest common factor number is the GCF number.
So the greatest common factor 85236 and 85256 is 4.

Also check out the Least Common Multiple of 85236 and 85256