What is the Greatest Common Factor of 86950 and 86965?

Greatest common factor (GCF) of 86950 and 86965 is 5.

GCF(86950,86965) = 5

We will now calculate the prime factors of 86950 and 86965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86950 and 86965.

How to find the GCF of 86950 and 86965?

We will first find the prime factorization of 86950 and 86965. After we will calculate the factors of 86950 and 86965 and find the biggest common factor number .

Step-1: Prime Factorization of 86950

Prime factors of 86950 are 2, 5, 37, 47. Prime factorization of 86950 in exponential form is:

86950 = 2¹ × 5² × 37¹ × 47¹

Step-2: Prime Factorization of 86965

Prime factors of 86965 are 5, 17393. Prime factorization of 86965 in exponential form is:

86965 = 5¹ × 17393¹

Step-3: Factors of 86950

List of positive integer factors of 86950 that divides 86950 without a remainder.

1, 2, 5, 10, 25, 37, 47, 50, 74, 94, 185, 235, 370, 470, 925, 1175, 1739, 1850, 2350, 3478, 8695, 17390, 43475

Step-4: Factors of 86965

List of positive integer factors of 86965 that divides 86950 without a remainder.

1, 5, 17393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86950 and 86965. The biggest common factor number is the GCF number.
So the greatest common factor 86950 and 86965 is 5.

Also check out the Least Common Multiple of 86950 and 86965