What is the Greatest Common Factor of 85736 and 85750?

Greatest common factor (GCF) of 85736 and 85750 is 14.

GCF(85736,85750) = 14

We will now calculate the prime factors of 85736 and 85750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85736 and 85750.

How to find the GCF of 85736 and 85750?

We will first find the prime factorization of 85736 and 85750. After we will calculate the factors of 85736 and 85750 and find the biggest common factor number .

Step-1: Prime Factorization of 85736

Prime factors of 85736 are 2, 7, 1531. Prime factorization of 85736 in exponential form is:

85736 = 2³ × 7¹ × 1531¹

Step-2: Prime Factorization of 85750

Prime factors of 85750 are 2, 5, 7. Prime factorization of 85750 in exponential form is:

85750 = 2¹ × 5³ × 7³

Step-3: Factors of 85736

List of positive integer factors of 85736 that divides 85736 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1531, 3062, 6124, 10717, 12248, 21434, 42868

Step-4: Factors of 85750

List of positive integer factors of 85750 that divides 85736 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 125, 175, 245, 250, 343, 350, 490, 686, 875, 1225, 1715, 1750, 2450, 3430, 6125, 8575, 12250, 17150, 42875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85736 and 85750. The biggest common factor number is the GCF number.
So the greatest common factor 85736 and 85750 is 14.

Also check out the Least Common Multiple of 85736 and 85750