What is the Greatest Common Factor of 86750 and 86770?

Greatest common factor (GCF) of 86750 and 86770 is 10.

GCF(86750,86770) = 10

We will now calculate the prime factors of 86750 and 86770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86750 and 86770.

How to find the GCF of 86750 and 86770?

We will first find the prime factorization of 86750 and 86770. After we will calculate the factors of 86750 and 86770 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 86770

Prime factors of 86770 are 2, 5, 8677. Prime factorization of 86770 in exponential form is:

86770 = 2¹ × 5¹ × 8677¹

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 86770

List of positive integer factors of 86770 that divides 86750 without a remainder.

1, 2, 5, 10, 8677, 17354, 43385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86750 and 86770. The biggest common factor number is the GCF number.
So the greatest common factor 86750 and 86770 is 10.

Also check out the Least Common Multiple of 86750 and 86770