What is the Greatest Common Factor of 86734 and 86750?

Greatest common factor (GCF) of 86734 and 86750 is 2.

GCF(86734,86750) = 2

We will now calculate the prime factors of 86734 and 86750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86734 and 86750.

How to find the GCF of 86734 and 86750?

We will first find the prime factorization of 86734 and 86750. After we will calculate the factors of 86734 and 86750 and find the biggest common factor number .

Step-1: Prime Factorization of 86734

Prime factors of 86734 are 2, 17, 2551. Prime factorization of 86734 in exponential form is:

86734 = 2¹ × 17¹ × 2551¹

Step-2: Prime Factorization of 86750

Prime factors of 86750 are 2, 5, 347. Prime factorization of 86750 in exponential form is:

86750 = 2¹ × 5³ × 347¹

Step-3: Factors of 86734

List of positive integer factors of 86734 that divides 86734 without a remainder.

1, 2, 17, 34, 2551, 5102, 43367

Step-4: Factors of 86750

List of positive integer factors of 86750 that divides 86734 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 347, 694, 1735, 3470, 8675, 17350, 43375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86734 and 86750. The biggest common factor number is the GCF number.
So the greatest common factor 86734 and 86750 is 2.

Also check out the Least Common Multiple of 86734 and 86750