What is the Greatest Common Factor of 86750 and 86759?

Greatest common factor (GCF) of 86750 and 86759 is 1.

GCF(86750,86759) = 1

We will now calculate the prime factors of 86750 and 86759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86750 and 86759.

How to find the GCF of 86750 and 86759?

We will first find the prime factorization of 86750 and 86759. After we will calculate the factors of 86750 and 86759 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86759

Prime factors of 86759 are 101, 859. Prime factorization of 86759 in exponential form is:

86759 = 101¹ × 859¹

Step-3: Factors of 86750

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

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

Step-4: Factors of 86759

List of positive integer factors of 86759 that divides 86750 without a remainder.

1, 101, 859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86750 and 86759. The biggest common factor number is the GCF number.
So the greatest common factor 86750 and 86759 is 1.

Also check out the Least Common Multiple of 86750 and 86759